38 resultados para spaces of maps

em Universidad Politécnica de Madrid


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The ontologies of space and territory, our experience of them and the techniques we use to govern them, the very conception of the socio-spatial formations that we inhabit, are all historically specific: they depend on a genealogy of practices, knowledges, discourses, regulations, performances and representations articulated in a way that is extremely complex yet nevertheless legible over time. In this interview we look at the logic and the patterns that intertwine space and time — both as objects and tools of inquiry — though a cross-disciplinary dialogue. The discussion with Stuart Elden and Derek Gregory covers the place of history in socio-spatial theory and in their own work, old and new ways of thinking about the intersection between history and territory, space and time, the implications of geography and history for thinking about contemporary politics, and the challenges now faced by critical thought and academic work in the current neo-liberal attack on public universities and the welfare state

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In this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin–Coeuré topology τδ, is not metrizable. Our result can be applied to get that, for all usual topologies, H(U) is metrizable if and only if E has finite dimension. RESUMEN. En este artículo se demuestra que si U es un abierto en un espacio E localmente convexo metrizable de dimensión infinita y H(U) es el espacio de funciones holomorfas en U, entonces la topología de Nachbin-Coeuré en H(U) no es metrizable. Este resultado se utiliza para demostrar que las topologías habituales en H(U) son metrizables si y sólo si E tiene dimensión finita.

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Let E be an infinite dimensional complex Banach space. We prove the existence of an infinitely generated algebra, an infinite dimensional closed subspace and a dense subspace of entire functions on E whose non-zero elements are functions of unbounded type. We also show that the τδ topology on the space of all holomorphic functions cannot be obtained as a countable inductive limit of Fr´echet spaces. RESUMEN. Sea E un espacio de Banach complejo de dimensión infinita y sea H(E) el espacio de funciones holomorfas definidas en E. En el artículo se demuestra la existencia de un álgebra infinitamente generada en H(E), un subespacio vectorial en H(E) cerrado de dimensión infinita y un subespacio denso en H(E) cuyos elementos no nulos son funciones de tipo no acotado. También se demuestra que el espacio de funciones holomorfas con la topología ? no es un límite inductivo numberable de espacios de Fréchet.

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Study and progress of urban voids. opportunities for new urban design.

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The preservation of biodiversity is a fundamental objective of a ll policies related to a more sustainable development in any modern society. The rain forest and pine forests are two unique Canarian ecosystems with high importance to global biodiversity, holding a large number of endemic species and subspecies that is a priority to preserve. In this work the challenges that will face the natural areas of the Canary Islands are studied, as well as their fundamental value for economic and environmental development of the islands.

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In the last years significant efforts have been devoted to the development of advanced data analysis tools to both predict the occurrence of disruptions and to investigate the operational spaces of devices, with the long term goal of advancing the understanding of the physics of these events and to prepare for ITER. On JET the latest generation of the disruption predictor called APODIS has been deployed in the real time network during the last campaigns with the new metallic wall. Even if it was trained only with discharges with the carbon wall, it has reached very good performance, with both missed alarms and false alarms in the order of a few percent (and strategies to improve the performance have already been identified). Since for the optimisation of the mitigation measures, predicting also the type of disruption is considered to be also very important, a new clustering method, based on the geodesic distance on a probabilistic manifold, has been developed. This technique allows automatic classification of an incoming disruption with a success rate of better than 85%. Various other manifold learning tools, particularly Principal Component Analysis and Self Organised Maps, are also producing very interesting results in the comparative analysis of JET and ASDEX Upgrade (AUG) operational spaces, on the route to developing predictors capable of extrapolating from one device to another.

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The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces of entire functions which includes as a particular case the classical Shannon sampling theory. This abstract setting allows us to obtain a sort of converse result and to characterize when the sampling formula associated with an analytic Kramer kernel can be expressed as a Lagrange-type interpolation series. On the other hand, the de Branges spaces of entire functions satisfy orthogonal sampling formulas which can be written as Lagrange-type interpolation series. In this work some links between all these ideas are established.

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One of the more aspects that have shaped the landscape is the human impact. The human impact has the clearest indicator of the density of settlements in a particular geographic region. In this paper we study all settlements shown on the map of the Kingdom of Valencia, Spain Geographic Atlas (AGE) of Tomas Lopez (1788), and their correspondence with the current ones. To meet this goal we have developed a specific methodology, the systematic study of all existing settlements in historical cartography. This will determine which have disappeared and which have been renamed. The material used has been the historical cartography of Tomas Lopez, part of the AGE (1789), the Kingdom of Valencia (1789), sheets numbers (78, 79, 80 and 81); Current mapping of the provinces of Alicante, Valencia, Castellon, Teruel, Tattagona and Cuenca; As main software ArcGis V.9.3. The steps followed in the methodology are as follows: 1. Check the scale of the maps. Analyze the possible use of a spherical earth model. 2. Geo-reference of maps with latitude and longitude framework. Move the historical longitude origin to the origin longitude of modern cartography. 3 Digitize of all population settlements or cities. 4 Identify historic settlements or cities corresponding with current ones. 5. If the maps have the same orientation and scale, replace the coordinate transformation of historical settlements with a new one, by a translation in latitude and longitude equal to the calculated mean value of all ancient map points corresponding to the new. 6. Calculation of absolute accuracy of the two maps, i.e. the linear distance between the points of both maps. 7 draw in the GIS, the settlements without correspondence, in the current coordinates, and with a circle of mean error of the sheet, in order to locate their current location. If there are actual settlements exist within this circle, they are candidates to be the searched settlements. We analyzed more than 2000 settlements represented in the Atlas of Tomas Lopez of the Kingdom of Valencia (1789), of which almost 14.5% have no correspondence with the existing settlements. The rural landscape evolution of the Valencia, oldest kingdom of Valencia, one can say that can be severely affected by the anthropization suffered in the period from 1789 to the present, since 70% of existing settlements actually have appeared after Tomas Lopez¿s cartography, dated on 1789

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The commercial centre VIALIA and the new railway station of the AVE (high speed train) in Malaga was inaugurated in November 2006, just on the place of the former railway station. The new railway station with an investment of 134,7 million Euros occupies a surface of 51.377 m2, five times the surface of the former station. The enclosure is the biggest intermodal and commercial centre of Spain which comprises a parking of 21.000 m2 for 1300 parking places, one commercial area and a hotel with a total extension constructed of approximately 100.000 m2. The spaces of leisure contain cinemas, shops, restaurants, bowling, gymnasium, swimming pool and zones of passenger's traffic.

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Understanding the location patterns of firms within a region has proved to be an important factor to study the development of urban form. Moreover, the study of firms location patterns allows the implementation of the adequate policy strategies to increase firms location rate in certain areas, for example when practitioners are dealing with deprived zones. The aim of this paper is to map firmographic data as a function of its location over a certain period of time, and its employment weight in order to discuss which factors have a direct impact on the results and to highlight which specific areas need the adequate measures to promote employment and public transportation. As a case study, it is proposed to analyze the southwest region of Madrid. Spatial statistic methods were used for this study, which were found to be very efficient in order to evaluate which areas need special attention.

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Purpose: In this paper we study all settlements shown on the map of the Province of Madrid, sheet number 1 of AGE (Atlas Geográfico de España of Tomas Lopez 1804) and their correspondence with the current ones. This map is divided in to zones: Madrid and Almonacid de Zorita. Method: The steps followed in the methodology are as follow: 1. Geo-reference of maps with latitude and longitude framework. Move the historical longitude origin to the origin longitude of modern cartography. 2 Digitize of all population settlements or cities (97 on Madrid and 42 on Almonacid de Zorita), 3 Identify historic settlements or cities corresponding with current ones. 4. If the maps have the same orientation and scale, replace the coordinate transformation of historical settlements with a new one, by a translation in latitude and longitude equal to the calculated mean value of all ancient map points corresponding to the new. 5. Calculation of absolute accuracy of the two maps. 6 draw in the GIS, the settlements accuracy. Result: It was found that all AGE settlements have good correspondence with current, ie only 27 settlements lost in Madrid and 2 in Almonacid. The average accuracy is 2.3 and 5.7 km to Madrid and Almonacid de Zorita respectively. Discussion & Conclusion: The final accuracy map obtained shows that there is less error in the middle of the map. This study highlights the great work done by Tomas Lopez in performing this mapping without fieldwork. This demonstrates the great value that has been the work of Tomas Lopez in the history of cartography.

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This paper concerns the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space H where U denotes an unitary operator defined on H ; besides, the dual frames having the same form are also found. This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L2 (R), where these frames are intimately related to the generalized sampling problem. We also deal with some related perturbation problems. In so doing, we need that the unitary operator U belongs to a continuous group of unitary operators.

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Sexpartite vaults constitute one of the most interesting chapters in European Gothic architecture. Originally, the use of the square cross-ribbed vault was limited to relatively small spaces, but when the need arose to cover spaces of considerable size, a new vault with very peculiar characteristics appeared. This new vault was a cross-ribbed vault that was reinforced in the centre by a rib that was parallel to the transverse ribs which effectively divided the vault in half. This configuration breaks the side arch into two fragments, creating a pair of windows on each side. The volumetrics of these vaults is extremely complex and the difficulties involved in their construction perhaps explain why they were abandoned in favour of the simple cross ribbed vault, now with rectangular sections. The existence of the sexpartite vault barely lasted more than fifty years, from the end of the XII century and the beginning of the XIII. Towards the end of the 19th century Viollet-le-Duc gave a succinct explanation of this type of vault. A. Choisy also, later, devotes some pages to the French sexpartite vault; since then, the subject has only been broached in a few references in later studies on Gothic architecture. However, despite its short period of existence, the sexpartite vault spread throughout Europe and was used to build important vaulting. Viollet-le-Duc's sexpartite vault could be considered to be the prototype of them all, while it is true that the studies that we have conducted so far lead us to affirm that there is a wide variety of vaults, with different volumetric spaces and different construction strategies. Therefore, we believe that this chapter of international Gothic deserves further study applying the knowledge and resources that are available today. This paper has been written to explore the most significant European sexpartite vaults. New measurement technology has led to a revolution in research into the history of construction, allowing studies to be conducted that were hitherto impossible. Thorough data collection using total station and photogrammetry has enabled us to identify the stereotomy of the voussoirs, tas-de-charges and keystones, as well as the bonding of the surfaces of the severies. A comparison of the construction techniques employed in the different vaults studied reveals common construction features and aspects that are specific to each country. Thus we are able to establish the relationship between sexpartite vaults in different European countries and their influence on each other.

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Se recoge en esta tesis doctoral la definición y clasificación de los edificios cuya finalidad es proporcionar espacios para escuchar y producir música. Se centra en aquellos construidos a lo largo del siglo XX, en el área geográfica y cultural que forman Europa occidental y Estados Unidos. Se analizan edificios construidos en el pasado, en una serie que se origina a mediados del siglo XIX y que se culmina terciado el propio siglo XX. Son edificios que contienen espacios pensados para músicas que, sin embargo, en su mayoría fueron creadas en un periodo anterior, desde mediados del siglo XVIII hasta las primeras décadas del siglo pasado. Un auditorium es un edificio cuya idea conlleva la compleja herencia de los múltiples lugares, abiertos y cerrados, que han alojado la música a lo largo del tiempo. Es un edificio que es útil a la sociedad y que ocupa un lugar significativo dentro de la ciudad, y es consecuencia del campo de fuerzas que constituyen los avances técnicos, el progreso de las sociedades urbanas y la evolución del arte, al compartir estrechamente, música y arquitectura, el interés por hallar la expresión de una nueva relación con la naturaleza. Se parte de la hipótesis de que el auditorium puede constituir un tipo arquitectónico con entidad suficiente para generar una tipología. Entendida ésta como una herramienta que dota de conocimientos útiles a quien va a proyectar un edificio para la música y también que permita abrir el campo de pensamiento sobre el espacio musical, sin necesidad de recurrir a modelos previos, aunque se hayan manifestado útiles y precisos. Se comienza con una aproximación a una definición del término «auditorium » y se analizan a qué funciones responde y en qué es distinto de otros edificios, a través de determinar las características formales propias. Para ello se articula la tesis en varios bloques de análisis. I Elementos para una tipología Se indaga en los atributos que determinan la naturaleza de los auditorios para definir cómo son estos edificios y qué características y condiciones tienen, no sólo las salas sino también los edificios que las contienen, buscando el origen de los espacios musicales y su relación con las personas que allí se han reunido para celebrar, a través de la música, acontecimientos colectivos. Relación que ha comportado desplazamientos por los distintos espacios que ha compartido, supeditada a otras actividades, hasta que finalmente, la música ha reclamado espacios propios. Pero también se establece otra relación física entre las distintas posiciones que ocupan en el espacio cuantos intervienen en la celebración del hecho musical, músicos y público. De otra parte se analiza cómo son sus espacios interiores, salas y vestíbulos, y los volúmenes y formas de los edificios en relación con la ciudad. Su conexión con la idea del paisaje abierto y con el carácter originario de la cueva. II Cinco tiempos Los edificios sobre los que se van explorar estas capacidades son en muchos casos arquitecturas divulgadas y conocidas. Sin embargo no todas han tenido desde su aparición el mismo grado de aprecio ni reconocimiento, y sólo el paso del tiempo ha confirmado su excelencia. El estudio se estructura en los periodos marcados por los acontecimientos bélicos y las grandes crisis que sacudieron Europa y Norte América desde comienzos del siglo XX. La identificación de los elementos significativos de la tipología se hace a través del análisis de distintos tiempos que agrupan casos heterogéneos, tiempos entendidos unas veces como la relación entre edificios coetáneos y otra como proyectos pensados por un mismo arquitecto y se detiene, entre otros, en cuatro excepcionales edificios que condensan la experiencia de varias décadas y demuestran su plenitud arquitectónica, por haber evolucionado de modelos precedentes o por su novedosas aportaciones. El Royal Festival Hall (1951), el Kresge Auditorium (1954), el Kulttuuritalo (1958) y la Philharmonie de Berlín (1963), sirven de base para una clasificación del auditorium. III Cronología gráfica Este apartado es fundamentalmente gráfico y consta un inventario de más de 100 archivos correspondientes a otros tantos auditorios y sus salas, en orden cronológico. Cada archivo cuenta con una imagen del exterior del edificio y otra del interior de la sala. Se han incorporado en cada uno de los archivos, dos dibujos a la misma escala. El primero muestra la planta de la sala con tres parámetros: la ocupación del público en referencia al lugar que ocupa la orquesta, la relación de tamaño entre la sala y las de los cuatro auditorios de referencia y la distancia al foco de sonido, la orquesta, mediante una escala en metros. Estos tres parámetros están superpuestos al que he considerado espacio audible, un rectángulo de 60 por 90 metros, en el que el foco está desplazado, por considerar que el sonido de una orquesta tiene una componente directional y que en esas dimensiones la energía sonora no decae. En el friso bajo el dibujo, aparecen cuatro iconos que informan de la relación formal de la sala con la del auditorium. Puede ser una sala dentro de un edificio sin correspondencia formal, un edificio en el que se manifiesta exteriormente el volumen de la sala, un edificio que tiene la forma de la sala y resuelve el resto del programa funcional sin manifestarlo exteriormente o, finalmente un edificio complejo cuya forma absorbe dos o más salas de música. El segundo dibujo es la sección longitudinal de la sala, recortada sobre un fondo negro para destacar su forma y proporción, todas están a la misma escala y en la misma dirección respecto del escenario para facilitar su lectura y comparación. En el parte inferior de la sección, aparecen cuatro esquemas de la forma y distribución en planta sobre el que destaca la de cada caso de estudio. La forma del techo de las salas de música de los auditorios, expresada a través de la sección longitudinal, es uno de los elementos que caracteriza el espacio musical. El perímetro de la sección, determina su superficie y por tanto, el volumen total interior. Es una herramienta técnica que permite dirigir el sonido reflejado en él, hasta cualquier lugar del interior de la sala, garantizando una distribución homogénea y evitando concentraciones perjudiciales o «sombras acústicas», lugares donde no llegan las primeras reflexiones. IV Geometría de las salas El análisis efectuado permite la elaboración de paralelos de tres de los elementos fundamentales de la tipología de las salas de los auditorium y que definen el espacio musical. El perímetro de la sección y su superficie que establecen el volumen total interior, que es un factor determinante en la reverberación de una sala. La forma y superficie del techo, que interviene directamente en el cálculo de la absorción del sonido, en función de la cualidad reflejante o absorbente del material con el que está construido, y por otra parte en la distribución del sonido en el espacio. Y por último, la forma del suelo de las salas también expresada a través de la sección longitudinal, es otro de los elementos que caracteriza el espacio musical. El modelado del suelo permite mediante distintas pendientes garantizar la correcta visión del escenario y por tanto permite también una buena audición, puesto que la llegada directa del sonido está asegurada. La otra limitación dimensional es el ancho de la grada. Cuando se ha buscado incrementar al máximo la capacidad de una sala, se han establecido graderíos en balcones en voladizo para no penalizar la distancia al escenario, de manera que algunas partes del graderío quedan cubiertas, en detrimento de su calidad acústica al privarlas de las primeras reflexiones que proceden del techo. V Auditórium y ciudad El auditorium es un edificio singular que establece con la ciudad una relación particular y que contiene en su interior una o varias salas especiales destinadas a oír y ejecutar música, a las que se accede a través de otros espacios de carácter social. Han ido evolucionando y modificándose de manera ininterrumpida, dando lugar a edificios de diversa complejidad en su programa y a salas cada vez mas especificas para cumplir mejor su cometido, perfeccionando su sonido y buscando la más elevada musicalidad. Estos edificios disponen de otros ámbitos de relación, son los espacios interiores, vestíbulos y escaleras, generalmente generosos en superficie y espacialidad, previos al espacio musical, corazón del auditorium donde suena la música en condiciones acústicas precisas. También el lugar donde se construyen los auditoriums en las ciudades tiene un especial significado, porque generalmente han buscado interponer espacios abiertos o ajardinados que suavicen el contacto directo con la ciudad y que implican, por otra parte, una preparación de las personas que asisten para escuchar los conciertos. Con el paso del tiempo, la aceptación generalizada de formas afianzadas en la ciudad, será uno de los vehículos que permita contaminar a otros tipos de edificios y alcanzar una libertad formal renovadora de los paisajes urbanos. Conclusiones La disolución del espacio musical convencional pregonado por el pabellón Philips del año 1958, no ha impedido que hoy siga vivo para el arquitecto el reto del proyecto y construcción del auditorium. Hoy conviven experiencias musicales totales; imagen, luz y movimiento, ocupando todo tipo de espacios públicos, cerrados o al aire libre, con la voluntad de conseguir espacios capaces de crear la intimidad y las precisas condiciones ambientales que hagan posible la recreación de las músicas del pasado en una especie de emocionante museo sonoro vivo. Como edificios urbanos, los auditoriums han conseguido un lugar destacado en la iconografía urbana después de un largo camino hasta conseguir el reconocimiento social. Se puede, así, establecer que estos edificios han introducido en la ciudad una nueva manera de expresarse la arquitectura. Que lo inesperado de sus formas y volúmenes en el espacio urbano, o la sorpresa de sus interiores altamente técnicos, justificados para satisfacer las nuevas necesidades impuestas por una audiencia cada vez más y más experta, obtienen la aceptación urbana por su utilidad social y por su capacidad de establecer una relación distinta entre las personas, la ciudad y la naturaleza. Coda Finalmente, el epílogo habla de la metamorfosis del espacio musical y de la convivencia de distintos espacios musicales en la actualidad. Desde la creación de las primeras y sencillas salas de música hasta las grandes salas filarmónicas que se construyen en las últimas décadas, la arquitectura ha proporcionado lugares adecuados para contener y disfrutar la música, espacios que se han modificado según cambiaban las formas musicales. Sin embargo el sonido parece mostrarse reticente a ser encerrado en el espacio y busca aliarse con el tiempo para conseguir un desplazamiento permanente. Seguramente es en el pabellón Philips de Bruselas en 1958 donde se presenta el último intento de la arquitectura de contener la música, que impulsada por tecnologías absolutamente nuevas, se mueve como dardos que atraviesan el espacio en todos los lugares y en todas las direcciones. Desde aquellas décadas centrales del pasado siglo, y superando los mas optimistas intentos de distribuir masivamente la música a través de incipientes tecnologías, se puede afirmar que vivimos en una inmersión sonora universal. Anexos Incluyen, una colección de mapas de la geografía de los auditorios europeos y norte-americanos, referenciados a los periodos de su construcción, y una relación de los auditorios estudiados con referencias bibliográficas. ABSTRACT This doctoral thesis does not only look at the ways in which architecture and music relate with one another; it also seeks to be an exact, scientific study of auditoriums, a building type that first appeared in the 20th century as a place in which to produce and listen to music. It studies concert halls, raised in Europe and the United Stated in the 20th century, for the purpose of recreating older music, that were the result of the evolution of various ancient building types. Auditoriums have a complex heritage of architecture of all times, openair and covered alike, and occupy important spots in cities. They incorporate the technical innovations of their times, and are reflections not only of the music played within them, but also of the societies that built them. Music and architecture share an interest in connecting with nature. Auditorium, a 20th-century Typology tries to define this building typology, and with that, be a practical tool in designing and constructing spaces for music, besides exploring the relationship between the two disciplines, architecture and music, and establishing the foundations for an entire school of thought. It is organized in five chapters, each focusing on a particular aspect of auditoriums, all towards defining a possible typology: I Typology elements. A study of the origin of auditoriums, and of how the different parts of these buildings —the actual concert hall, the foyer, the open spaces— relate with the city and with nature, which is ever present in music and in the origin of auditoriums. II Five sequences. A chronological journey through the 20th century, in periods marked by the two world wars and the consequent crises, with case studies of four exceptional buildings: the Royal Festival Hall (1951), the Kresge Auditorium (1954), the Kulttuuritalo (1958), and the Berlin Philharmonie (1963). III Graphic chronology. A methodical sequence looking at a hundred auditoriums, with each entry presenting images of the concert hall and the building as a whole, and two drawings on the same scale. Each concert hall floor plan shows how the orchestra relates with the audience, and it is compared to the floor plans of the four case-study examples named above. We also see how the hall is set into the building. The second drawing is the longitudinal section of the hall. Ceiling shape much determines the character of concert hall spaces, while technical data like air volume and the amount of absorbent and reflecting materials used have a direct bearing on the reflection of sound and on the overall musical quality of the auditorium. IV Geometry of concert halls. Graphic analysis of the key elements of a music space: the ceiling and the floor plan. The section is a necessary tool for determining the reverberation time of a concert hall, and is closely linked to the shape of the floor plan. In concert halls, there is a strong connection between the ceiling, the walls, and the floor, as there is between different musical instruments. It also includes maps showing where these European and American buildings are located geographically as well as in time. V The auditorium in the city. This chapter presents a series of maps showing the location of auditoriums in the city. They are often located in squares and gardens, open public spaces that serve to emotionally prepare the listener for an imminent musical experience. Time has shown that concert halls have changed the urban landscape and city life. Conclusions As a building type, auditoriums —though «dissolved» by the Philips Pavilion in 1958— remain valid spaces for listening to music. As intimate and unique spaces for social gathering and musical creation, they have done their part in transforming cities. Acoustics play a key role in these technical interiors, but just as important is the rapport that is struck between the musicians and the audience, and between musical works of the past, present, and future. Auditoriums are urban buildings that have been very successful throughout history. They have enriched our cities with surprising shapes and volumes, introduced new interiors in architecture, and struck new relationships between people, the city, and nature. As such, they are necessary. Coda Finally, the epilogue presents the evolution of the music space, from the early simple music halls to the highly complex philharmonic halls of recent years. Architecture has produced spaces for the enjoyment of music that have been modified for new musical creations, while remaining useful for the historical repertoire. Sound, and thus music, has as complex a relationship with space as it does with time. The coda of this thesis is the Philips Pavilion of 1958, perhaps the last attempt to propose a new kind of architecture for music with the latest technology. Annexes The thesis includes a collection of site maps of European and American auditoriums, complete with completion dates and descriptions.

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The spatial processes deployed by the 15-M movement in Spain include elements of social change that exceed the limits of conventional politics. Located at a liminal level, these processes operate in the often unnoticed realm of the micro-politics of urban everyday life and the regimes of place that regulate it, providing new criteria for understanding sociospatial and urban phenomena. This article shows how public space, its representations and the spatialities associated with them have served as a support for, have determined and, ultimately, have been reshaped and transformed by the Spanish “indignados” (outraged), in particular in the city and the metropolitan area of Madrid. Drawing on a series of theoretical approaches to the articulation of recent revolts, the deployment of a prefigurative politics and the occupation of public space, I will give an experience-based account of the spatial constitution and effects of these connections in and around Madrid’s Puerta del Sol. As a whole, the indignados’ occupations and actions provide urban theory with conceptual and practical tools to imagine alternative forms of collective commitment in the production of spaces of hope for social progress and generalized self-management.