Widening gaps, productive spaces : the construction of Victorian identity in Thomas Carlyle, Lewis Carroll and George Eliot

M��moire num��ris�� par la Division de la gestion de documents et des archives de l'Universit�� de Montr��al

Source spaces and perturbations for cluster complexes

Dans ce travail, nous d��finissons des objets compos��s de disques complexes marqu��s reli��s entre eux par des segments de droite munis d���une longueur. Nous construisons deux s��ries d���espaces de module de ces objets appel��s clus- ters, une qui sera dite non sym��trique, la version ���, et l���autre qui est dite sym��trique, la version ���. Cette construction permet des choix de perturba- tions pour deux versions correspondantes des trajectoires de Floer introduites par Cornea et Lalonde ([CL]). Ces choix devraient fournir une nouvelle option pour la description g��om��trique des structures A��� et L��� obstru��es ��tudi��es par Fukaya, Oh, Ohta et Ono ([FOOO2],[FOOO]) et Cho ([Cho]). Dans le cas o�� L ��� (M, ��) est une sous-vari��t�� lagrangienne Pin�� mono- tone avec nombre de Maslov ��� 2, nous d��finissons une structure d���alg��bre A��� sur les points critiques d���une fonction de Morse g��n��rique sur L. Cette struc- ture est pr��sent��e comme une extension du complexe des perles de Oh ([Oh]) muni de son produit quantique, plus r��cemment ��tudi�� par Biran et Cornea ([BC]). Plus g��n��ralement, nous d��crivons une version g��om��trique d���une cat��gorie de Fukaya avec seul objet L qui se veut alternative �� la description (relative) hamiltonienne de Seidel ([Sei]). Nous v��rifions la fonctorialit�� de notre construction en d��finissant des espaces de module de clusters occult��s qui servent d���espaces sources pour des morphismes de comparaison.

The intangible aspects of architectural spaces that influence human well-being

En utilisant des approches qualitative and quantitative cette th��se d��montre que les aspects intangibles des espaces architecturaux influencent le bien-��tre humain. Le but est de faire savoir que les espaces int��rieurs ont un impact sur le bien-��tre et que l���architecture peut ��tre consid��r��e comme une solution pour satisfaire les besoins des usagers. Dans la premi��re ��tude, l���approche qualitative est explor��e en utilisant la narration pour identifier les aspects intangibles des espaces int��rieurs qui affectent le bien-��tre. Une discussion s���articule autour du Mod��le de R��ponses Exp��rientielles des Humains (Model of Human Experiential Responses to Space) et de son importance comme outil pour d��terrer les caract��ristiques environnementales qui influencent le bien-��tre et qui peut ��tre utile pour les professionnels du design. Les r��sultats d��montrent que 43 cat��gories sont interpr��t��es comme ��tant des aspects intangibles et servent de canevas pour trois autres ��tudes. Les r��sultats d��montrent que certaines caract��ristiques environnementales similaires dans les r��sidences et les bureaux augmentent le sentiment de satisfaction et de bien-��tre. Dans la deuxi��me ��tude, une approche quantitative est explor��e en utilisant les neurosciences et l���architecture afin de mesurer comment les espaces architecturaux affectent le bien-��tre. Le concept de neuroscience / environnement / comportement est utilis�� o�� huit corr��lats neuroscientifiques (Zeisel 2006) sont investigu��s afin de mesurer les effets du cerveau sur les espaces architecturaux. Les r��sultats d��montrent que l���environnement peut affecter l���humeur, le niveau d���attention et le niveau de stress chez les humains et peut ��galement augmenter leur performance. Les deux ��tudes contribuent aux connaissances que les caract��ristiques environnementales affectent l���humeur et le niveau de satisfaction de la m��me fa��on dans les espaces r��sidentiels et dans les espaces de bureaux. Un bon environnement qui ��nergise les employ��s peut affecter leur performance au travail de fa��on positive (Vischer 2005).

Spectacle and the one-man band : technology, performing bodies, and imaginary spaces

L�����tiquette �� homme-orchestre �� est appos��e �� une grande vari��t�� de musiciens qui se distinguent en jouant seuls une performance qui est normalement interpr��t��e par plusieurs personnes. La diversit�� qu���a pu prendre au cours du temps cette forme n���est pas prise en compte par la culture populaire qui propose une image relativement constante de cette figure tel que vue dans les films Mary Poppins (1964) de Walt Disney et One-man Band (2005) de Pixar. Il s���agit d���un seul performeur v��tu d���un costume color�� avec une grosse caisse sur le dos, des cymbales entre les jambes, une guitare ou un autre instrument �� cordes dans les mains et un petit instrument �� vent fix�� assez pr��s de sa bouche pour lui permettre d���alterner le chant et le jeu instrumental. Cette th��se propose une analyse de l���homme-orchestre qui va au-del�� de sa simple production musicale en situant le ph��nom��ne comme un genre spectaculaire qui transmet un contenu symbolique �� travers une relation tripartite entre performance divertissante, spectateur et image. Le contenu symbolique est li�� aux id��es caract��ristiques du Si��cle des lumi��res tels que la libert��, l���individu et une relation avec la technologie. Il est aussi incarn�� simultan��ment par les performeurs et par la repr��sentation de l���homme-orchestre dans l���imaginaire collectif. En m��me temps, chaque performance sert �� r��affirmer l���image de l���homme-orchestre, une image qui par r��p��titions est devenue un lieu commun de la culture, existant au-del�� d���un seul performeur ou d���une seule performance. L���aspect visuel de l���homme-orchestre joue un r��le important dans ce processus par une utilisation inattendue du corps, une relation causale entre corps, technologie et production musicale ainsi que par l���utilisation de v��tements color��s et d���accessoires non musicaux tels des marionnettes, des feux d���artifice ou des animaux vivants. Ces ��l��ments spectaculaires divertissent les spectateurs, ce qui se traduit, entre autres, par un gain financier pour le performeur. Le divertissement a une fonction phatique qui facilite la communication du contenu symbolique.

On Chaos and Fractals in General Topological Spaces

The present study on chaos and fractals in general topological spaces. Chaos theory originated with the work of Edward Lorenz. The phenomenon which changes order into disorder is known as chaos. Theory of fractals has its origin with the frame work of Benoit Mandelbrot in 1977. Fractals are irregular objects. In this study different properties of topological entropy in chaos spaces are studied, which also include hyper spaces. Topological entropy is a measures to determine the complexity of the space, and compare different chaos spaces. The concept of fractals can���t be extended to general topological space fast it involves Hausdorff dimensions. The relations between hausdorff dimension and packing dimension. Regular sets in Metric spaces using packing measures, regular sets were defined in IR��� using Hausdorff measures. In this study some properties of self similar sets and partial self similar sets. We can associate a directed graph to each partial selfsimilar set. Dimension properties of partial self similar sets are studied using this graph. Introduce superself similar sets as a generalization of self similar sets and also prove that chaotic self similar self are dense in hyper space. The study concludes some relationships between different kinds of dimension and fractals. By defining regular sets through packing dimension in the same way as regular sets defined by K. Falconer through Hausdorff dimension, and different properties of regular sets also.

Box Products in Fuzzy Topological Spaces and Related Topics

The topology as the product set with a base chosen as all products of open sets in the individual spaces. This topology is known as box topology. The main objective of this study is to extend the concept of box products to fuzzy box products and to obtain some results regarding them. Owing to the fact that box products have plenty of applications in uniform and covering properties, here made an attempt to explore some inter relations of fuzzy uniform properties and fuzzy covering properties in fuzzy box products. Even though the main focus is on fuzzy box products, some brief sketches regarding hereditarily fuzzy normal spaces and fuzzy nabla product is also provided. The main results obtained include characterization of fuzzy Hausdroffness and fuzzy regularity of box products of fuzzy topological spaces. The investigation of the completeness of fuzzy uniformities in fuzzy box products proved that a fuzzy box product of spaces is fuzzy topologically complete if each co-ordinate space is fuzzy topologically complete. The thesis also prove that the fuzzy box product of a family of fuzzy ��-paracompact spaces is fuzzy topologically complete. In Fuzzy box product of hereditarily fuzzy normal spaces, the main result obtained is that if a fuzzy box product of spaces is hereditarily fuzzy normal ,then every countable subset of it is fuzzy closed. It also deals with the notion of fuzzy nabla product of spaces which is a quotient of fuzzy box product. Here the study deals the relation connecting fuzzy box product and fuzzy nabla product

Study on Fuzzy Ordered FuzzyTopological Spaces

In this study we combine the notions of fuzzy order and fuzzy topology of Chang and define fuzzy ordered fuzzy topological space. Its various properties are analysed. Product, quotient, union and intersection of fuzzy orders are introduced. Besides, fuzzy order preserving maps and various fuzzy completeness are investigated. Finally an attempt is made to study the notion of generalized fuzzy ordered fuzzy topological space by considering fuzzy order defined on a fuzzy subset.

A Study of Closure and Fuzzy Closure Spaces with Reference to H-Closedness and Convexity

Department of Mathematics, Cochin University of Science and Technology.

A study on fuzzy semi inner product spaces

Mathematical models are often used to describe physical realities. However, the physical realities are imprecise while the mathematical concepts are required to be precise and perfect. Even mathematicians like H. Poincare worried about this. He observed that mathematical models are over idealizations, for instance, he said that only in Mathematics, equality is a transitive relation. A first attempt to save this situation was perhaps given by K. Menger in 1951 by introducing the concept of statistical metric space in which the distance between points is a probability distribution on the set of nonnegative real numbers rather than a mere nonnegative real number. Other attempts were made by M.J. Frank, U. Hbhle, B. Schweizer, A. Sklar and others. An aspect in common to all these approaches is that they model impreciseness in a probabilistic manner. They are not able to deal with situations in which impreciseness is not apparently of a probabilistic nature. This thesis is confined to introducing and developing a theory of fuzzy semi inner product spaces.

A study on fuzzy semi inner product spaces

Mathematical models are often used to describe physical realities. However, the physical realities are imprecise while the mathematical concepts are required to be precise and perfect. The 1st chapter give a brief summary of the arithmetic of fuzzy real numbers and the fuzzy normed algebra M(I). Also we explain a few preliminary definitions and results required in the later chapters. Fuzzy real numbers are introduced by Hutton,B [HU] and Rodabaugh, S.E[ROD]. Our definition slightly differs from this with an additional minor restriction. The definition of Clementina Felbin [CL1] is entirely different. The notations of [HU]and [M;Y] are retained inspite of the slight difference in the concept.the 3rd chapter In this chapter using the completion M'(I) of M(I) we give a fuzzy extension of real Hahn-Banch theorem. Some consequences of this extension are obtained. The idea of real fuzzy linear functional on fuzzy normed linear space is introduced. Some of its properties are studied. In the complex case we get only a slightly weaker analogue for the Hahn-Banch theorem, than the one [B;N] in the crisp case

Finding Spaces for Urban Food Production ��� Matching Spatial and Stakeholder Analysis with Urban Agriculture Approaches in the Urban Renewal Area of Dortmund-H��rde, Germany

Using the case of an economically declined neighbourhood in the post-industrial German Ruhr Area (sometimes characterized as Germany���s ���Rust Belt���), we analyse, describe and conclude how urban agriculture can be used as a catalyst to stimulate and support urban renewal and regeneration, especially from a socio-cultural perspective. Using the methodological framework of participatory action research, and linking bottom-up and top-down planning approaches, a project path was developed to include the population affected and foster individual responsibility for their district, as well as to strengthen inhabitants and stakeholder groups in a permanent collective stewardship for the individual forms of urban agriculture developed and implemented. On a more abstract level, the research carried out can be characterized as a form of action research with an intended transgression of the boundaries between research, planning, design, and implementation. We conclude that by synchronously combining those four domains with intense feedback loops, synergies for the academic knowledge on the potential performance of urban agriculture in terms of sustainable development, as well as the benefits for the case-study area and the interests of individual urban gardeners can be achieved.

On the V(subscript gamma) Dimension for Regression in Reproducing Kernel Hilbert Spaces

This paper presents a computation of the $V_gamma$ dimension for regression in bounded subspaces of Reproducing Kernel Hilbert Spaces (RKHS) for the Support Vector Machine (SVM) regression $epsilon$-insensitive loss function, and general $L_p$ loss functions. Finiteness of the RV_gamma$ dimension is shown, which also proves uniform convergence in probability for regression machines in RKHS subspaces that use the $L_epsilon$ or general $L_p$ loss functions. This paper presenta a novel proof of this result also for the case that a bias is added to the functions in the RKHS.