COMPLETE ISOMORPHIC CLASSIFICATIONS OF SOME SPACES OF COMPACT OPERATORS

This paper is a continuation and a complement of our previous work on isomorphic classification of some spaces of compact operators. We improve the main result concerning extensions of the classical isomorphic classification of the Banach spaces of continuous functions on ordinals. As an application, fixing an ordinal a and denoting by X(xi), omega(alpha) <= xi < omega(alpha+1), the Banach space of all X-valued continuous functions defined in the interval of ordinals [0,xi] and equipped with the supremum, we provide complete isomorphic classifications of some Banach spaces K(X(xi),Y(eta)) of compact operators from X(xi) to Y(eta), eta >= omega. It is relatively consistent with ZFC (Zermelo-Fraenkel set theory with the axiom of choice) that these results include the following cases: 1.X* contains no copy of c(0) and has the Mazur property, and Y = c(0)(J) for every set J. 2. X = c(0)(I) and Y = l(q)(J) for any infinite sets I and J and 1 <= q < infinity. 3. X = l(p)(I) and Y = l(q)(J) for any infinite sets I and J and 1 <= q < p < infinity.

ON ISOMORPHIC CLASSIFICATIONS OF SPACES OF COMPACT OPERATORS

We prove an extension of the classical isomorphic classification of Banach spaces of continuous functions on ordinals. As a consequence, we give complete isomorphic classifications of some Banach spaces K(X,Y(n)), eta >= omega, of compact operators from X to Y(eta), the space of all continuous Y-valued functions defined in the interval of ordinals [1, eta] and equipped with the supremum norm. In particular, under the Continuum Hypothesis, we extend a recent result of C. Samuel by classifying, up to isomorphism, the spaces K(X(xi), c(0)(Gamma)(eta)), where omega <= xi < omega(1,) eta >= omega, Gamma is a countable set, X contains no complemented copy of l(1), X* has the Mazur property and the density character of X** is less than or equal to N(1).

ON SPACES OF COMPACT OPERATORS ON C(K, X) SPACES

This paper concerns the spaces of compact operators kappa(E,F), where E and F are Banach spaces C([1, xi], X) of all continuous X-valued functions defined on the interval of ordinals [1, xi] and equipped with the supremun norm. We provide sufficient conditions on X, Y, alpha, beta, xi and eta, with omega <= alpha <= beta < omega 1 for the following equivalence: (a) kappa(C([1, xi], X), C([1, alpha], Y)) is isomorphic to kappa(C([1,eta], X), C([1, beta], Y)), (b) beta < alpha(omega). In this way, we unify and extend results due to Bessaga and Pelczynski (1960) and C. Samuel (2009). Our result covers the case of the classical spaces X = l(p) and Y = l(q) with 1 < p, q < infinity.

POLAR ACTIONS ON CERTAIN PRINCIPAL BUNDLES OVER SYMMETRIC SPACES OF COMPACT TYPE

We study polar actions with horizontal sections on the total space of certain principal bundles G/K -> G/H with base a symmetric space of compact type. We classify such actions up to orbit equivalence in many cases. In particular, we exhibit examples of hyperpolar actions with cohomogeneity greater than one on locally irreducible homogeneous spaces with nonnegative curvature which are not homeomorphic to symmetric spaces.

Internet Geography: New Spaces of Information

The objective of great investments in telecommunication networks is to approach economies and put an end to the asymmetries. The most isolated regions could be the beneficiaries of this new technological investments wave disseminating trough the territories. The new economic scenarios created by globalisation make high capacity backbones and coherent information society polity, two instruments that could change regions fate and launch them in to an economic development context. Technology could bring international projection to services or products and could be the differentiating element between a national and an international economic strategy. So, the networks and its fluxes are becoming two of the most important variables to the economies. Measuring and representing this new informational accessibility, mapping new communities, finding new patterns and localisation models, could be today’s challenge. In the physical and real space, location is defined by two or three geographical co-ordinates. In the network virtual space or in cyberspace, geography seems incapable to define location, because it doesn’t have a good model. Trying to solve the problem and based on geographical theories and concepts, new fields of study came to light. The Internet Geography, Cybergeography or Geography of Cyberspace are only three examples. In this paper and using Internet Geography and informational cartography, it was possible to observe and analyse the spacialisation of the Internet phenomenon trough the distribution of the IP addresses in the Portuguese territory. This work shows the great potential and applicability of this indicator to Internet dissemination and regional development studies. The Portuguese territory is seen in a completely new form: the IP address distribution of Country Code Top Level Domains (.pt) could show new regional hierarchies. The spatial concentration or dispersion of top level domains seems to be a good instrument to reflect the info-structural dynamic and economic development of a territory, especially at regional level.

Internet Geography: Spaces of Innovation

Information Society plays an important role in all kinds of human activity, inducing new forms of economic and social organization and creating knowledge. Over the last twenty years of the 20th century, large investments in telecommunication networks were made to approach economies and put an end to the asymmetries. The most isolated regions were the beneficiaries of this new technological investment’s wave disseminating trough the territories. The new economic scenarios created by globalisation make high capacity backbones and coherent information society polity, two instruments that could change regions fate and launch them in to an economic development context. Technology could bring international projection to services, products and could be the differentiating element between a national and an international economic strategy. So, the networks and its fluxes are becoming two of the most important variables to the economies. Measuring and representing this new informational accessibility, mapping new communities, finding new patterns and localisation models, could be today’s challenge. In the physical/real space, location is defined by two or three geographical co-ordinates. In the network/virtual space or in cyberspace, geography seems incapable to define location, because it doesn’t have a good model. Trying to solve the problem and based on geographical theories and concepts, new fields of study came to light. Internet Geography is one example. In this paper and using Internet Geography and informational cartography, it was possible to observe and analyse the spacialisation of the Internet phenomenon trough the distribution of the IP addresses in the Portuguese territory. This work shows the great potential and applicability of this indicator to regional development studies, and at the same time. The IP address distribution of Country Code Top Level Domains (.pt for Portugal) could show the same economic patterns, reflecting territorial inflexibility or, by opposition, new regional hierarchies. The spatial concentration or dispersion of top level domains seems to be a good instrument to analyse the info-structural dynamic and economic development of a territory, especially at regional level. At the same time it shows that information technologies are essential to innovation and competitive advantage.

Reconceptualising public spaces of (IN)equality: sensing and creating layers of visibility

Tese apresentada para cumprimento dos requisitos necessários à obtenção do grau de Doutor em Geografia e Planeamento Territorial - Especialidade: Geografia Humana

Prácticas festivas y formas de sociabilidad de y entre varones homosexuales (ciudad de córdoba, 1976-1986) Parties and Forms of Sociability between and among Male Homossexuals (City of Córdoba AR, 1976-1986)

El presente proyecto de investigación está interesado en explorar y describir determinadas formas de sociabilidad de varones de clase media auto definidos como homosexuales entre el inicio de la última dictadura (1976) y la formación de un circuito de discos y pubs gays en la ciudad de Córdoba durante el llamado “destape alfonsinista” (1986). La investigación contempla la descripción densa de dos series de prácticas de sociabilidad. Por una parte, se analizará la sociabilidad de varones homosexuales, especialmente de un conjunto de sujetos que desempeñaban determinadas profesiones como “decoradores”, “modistos”, “cocineros”, “anticuarios” y organizadores de fiestas, contratados por las elites locales y clases medias acomodadas para diseñar sus formas de diversión durante el período. ¿Cómo estos sujetos se relacionaban con quienes no forman parte del “ambiente” homosexual y cómo gestionaban el “secreto público” de su identidad erótico-sexual en sus relaciones con las elites cordobesas? El estudio de estas formas de sociabilidad homosexual escasamente trabajadas por la literatura internacional se relacionará con un análisis de las formas de sociabilidad entre varones homosexuales y la formación de un “ambiente”. Para ello se estudiarán espacios colectivos de socialización como baños públicos, plazas, calles, fiestas privadas, bares, boliches y saunas. Los códigos de comunicación verbal y gestual utilizados en esos espacios, y la caracterización de las redes de personas que componían el “ambiente” también serán objeto de análisis. Dado el carácter inicial de esta investigación, ya que no se cuenta con estudios previos para Córdoba, proponemos la siguiente hipótesis de tipo exploratorio en relación a las formas de sociabilidad de determinados varones homosexuales: Estos sujetos habrían asegurado su reproducción social tanto como la posesión de ciertos salvoconductos para el ejercicio de su identidad sociosexual produciendo fiestas de las elites locales. A partir de erigirse en árbitros del “buen gusto” dichos sujetos habrían asegurado ciertos privilegios, entre ellos “feminizar” sus gustos y producirse como “locas”. Dada las nuevas condiciones impuestas por la recuperación democrática, los salvoconductos se hicieron cada vez menos valiosos al mismo tiempo que se formaba una identidad “gay” que, aunque buscó distanciarse del modelo negativo de “la loca”, continuó reclamando su dominio sobre el “buen gusto”. De esta manera, el cultivo experto del “buen gusto” sería parte de las prácticas que organizaban las formas de sociabilidad de varones homosexuales con sujetos heterosexuales de las elites. En relación a las formas de sociabilidad entre homosexuales proponemos que durante la dictadura, “el ambiente” se habría organizado en torno a un circuito callejero y una territorialidad de eventos privados (fiestas negras). Las diferentes performances sociales desarrolladas en tales espacios formaron parte de prácticas que desafiaron el estado de sitio impuesto. Reprimidas por la dictadura, estas prácticas no podían formar parte de un consumo cultural mercantilizado. La recuperación democrática y los cambios en las políticas del Estado con relación a los derechos y los reclamos de las minorías articulados con la expansión de un mercado gay global, habrían producido un cambio en las formas de sociabilidad homosexual. El ejercicio de esta sociabilidad supuso cada vez más el consumo de ciertas mercancías culturales asociadas con “la noche”. Así, la formación de una identidad “gay”, como opuesta al modelo “loca/chongo” dominante hasta los años ´80, aparecería fuertemente relacionada con la formación y segmentarización de un mercado del entretenimiento nocturno. Para la recolección de datos se recurrirá a entrevistas focalizadas e historias de vida de sujetos que trabajaron dando forma a las prácticas de divertimento nocturno de las elites locales y participaron en las redes de personas que componían el “ambiente”. This research project aims at exploring and describing determined forms of sociability among middle class self-identified as homossexual males betwwen the beginning of the last dictatorial period (1976) and the establishment of a network of disco and gay pubs in Cordoba, AR, during the so called “destape alfonsinista” (1986). This research will deal with the thick description of two series of sociability practices. On the one hand, it will analyze male homossexuals sociability practices themselves, barely studied in international literature, mainly those of a set of subjects whose professional careers were those of interior decorators, dressmakers, kitchen chefs, antiquarians and party promoters hired by the local elites and upper middle classes to design their forms of leisure durign that period. On the other, we will deal with the forms of sociability between male homossexuals and the the set of a social environment. This rearch will study collective spaces of socialization such as restrooms, squares, streets, private parties, pubs, discos and saunas. The communication codes in those spaces, both verbal and gestural, as well as the description of the social networks componing that enviroment will also be considered. Focused interviews with and life histories of those who worked structuring night leisure local elite practices and were part of that environment social networks will be the main techniques used in data collection.

On the boundedness on inhomogeneous Lipschitz spaces of fractional integrals, singular integrals and hypersingular integrals associated to non-doubling measures on metric spaces

In this paper we prove T1 type necessary and sufficient conditions for the boundedness on inhomogeneous Lipschitz spaces of fractional integrals and singular integrals defined on a measure metric space whose measure satisfies a n-dimensional growth. We also show that hypersingular integrals are bounded on these spaces.

Quotient spaces of boundedly rational types

By identifying types whose low-order beliefs up to level li about the state of nature coincide, weobtain quotient type spaces that are typically smaller than the original ones, preserve basic topologicalproperties, and allow standard equilibrium analysis even under bounded reasoning. Our Bayesian Nash(li; l-i)-equilibria capture players inability to distinguish types belonging to the same equivalence class.The case with uncertainty about the vector of levels (li; l-i) is also analyzed. Two examples illustratethe constructions.

Cannabis use as a means of socialization?: new consumption patterns among heavy users

Purpose: After tobacco and alcohol, cannabis is the most used substance among adolescents in Switzerland. Our aim is to assess whether cannabis use has become an ordinary means of socialization. We hypothesize that cannabis consumption has become a normative, although still illegal, behavior. Methods: As part of a larger qualitative study aimed at assessing new ways [patterns] of cannabis consumption, 16 daily cannabis consumers (11 males) and 2 former heavy consumers (both females), aged 15 to 20 years, participated in interviews and focus groups. Data were transcribed verbatim and analyzed using Atlas.ti qualitative analysis software. Results: Most consumers define the beginning of their consumption as a moment when they made new friends. They commonly use cannabis in group settings, which encourages the belief that all adolescents use cannabis. Thus, cannabis is mainly identified as an everyday social act. Joints are smoked like cigarettes: at all times of the day, during or after school or work with peers, often starting at lunch break, and mostly in public places. Friends offer a joint in a group setting, much like beer in a bar, as a means of making contact. Consumption invariably increases while socializing on vacation: "During vacation, we smoke up to 10-15 joints a day; at the end we're just dead." Additionally, in order to obtain cannabis, consumers have to be part of the right networks; they generally have several dealers to assure their supply, buy and sell themselves, or practice group-buying. As a result, all friends or acquaintances of consumers are themselves cannabis users. For instance, 4 boys, who say they are best friends, always smoke together and that, in order to quit, "All four of us should say to ourselves, 'Okay, now, let's all stop smoking'. That would be the only solution. . .but it would be impossible!" The 2 former consumers state that when they started using cannabis, "I found myself little by little in a vicious circle where I saw only people who also smoked". When they quit, they separated from their group of friends: "Either you make new friends who don't smoke or you smoke." Conclusions: Discussions with consumers demonstrate a normative facet of cannabis consumption as part of teenage socialization. Consequently, cannabis consumers develop a significant dependency since a majority of their friends use cannabis and their consumption involves most of their daily social life. Our study highlights the need for clear messages about the harmful aspects of using this substance while also suggesting that cessation efforts should include helping users separate from their consumption milieu. Sources of Support: Dept. of Public Health of the canton of Vaud.

Simulations of action of DNA topoisomerases to investigate boundaries and shapes of spaces of knots.

The configuration space available to randomly cyclized polymers is divided into subspaces accessible to individual knot types. A phantom chain utilized in numerical simulations of polymers can explore all subspaces, whereas a real closed chain forming a figure-of-eight knot, for example, is confined to a subspace corresponding to this knot type only. One can conceptually compare the assembly of configuration spaces of various knot types to a complex foam where individual cells delimit the configuration space available to a given knot type. Neighboring cells in the foam harbor knots that can be converted into each other by just one intersegmental passage. Such a segment-segment passage occurring at the level of knotted configurations corresponds to a passage through the interface between neighboring cells in the foamy knot space. Using a DNA topoisomerase-inspired simulation approach we characterize here the effective interface area between neighboring knot spaces as well as the surface-to-volume ratio of individual knot spaces. These results provide a reference system required for better understanding mechanisms of action of various DNA topoisomerases.

Kollektiivista muistia etsimässä : How Collectivities Remember : Structures and Spaces of Social and Cultural Memory

Ajankohtaista