Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classi
Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following
The Places and Spaces of Fashion, 1800-2007 brings together art, design, fashion, and a much neglected concern for its spatial realities. The spaces and places of fashion have often been overlooked in
The Contested Boundaries of Public and Population Health will be a valuable text not only in schools of public health but also in those of economics, political science, medicine, history, sociology an
This groundbreaking study examines complex notions of paternity and fatherhood in modern France through the lens of contested paternity. Drawing from archival judicial records on paternity suits, pat
Culturally Contested Literacies is a vivid ethnographic account of the everyday cross-cultural living and schooling experiences of six culturally-diverse families in urban America. Documenting the way
Culturally Contested Literacies is a vivid ethnographic account of the everyday cross-cultural living and schooling experiences of six culturally-diverse families in urban America. Documenting the way
Contested Representations examines the controversy surrounding the Into the Heart of Africa exhibition at the Royal Ontario Museum (ROM) in Toronto in 1989-90. The exhibition was meant to travel to th
With essays on U.S. history ranging from the American Revolution to the dawn of the twenty-first century, Contested Democracy illuminates struggles waged over freedom and citizenship throughout the Am
Pearson-Evans and Leahy (both intercultural studies, Dublin City U.) present a selection of 24 peer-reviewed essays drawn from the "Intercultural Spaces: Language, Culture, Identity" conference hosted
The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from
Many American democratic ideals are embodied in the public spaces of its cities, especially in Washington, D.C. In L'Enfant's Legacy architect and scholar Michael Bednar explores the public spaces of
During the controversial 2004 elections that led to the "Orange Revolution" in Ukraine, cultural and linguistic differences threatened to break apart the country. Contested Tongues explains the comple
This non-classical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables.
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in t
Writing Spaces examines some of the most important discourses in spatial theory of the last four decades, and considers their impact within the built environment disciplines. The book will be a key re
What were Socialist Spaces? The Eastern Bloc produced distinctive spaces, some of which were fashioned from ideological templates, such as the monumental parade grounds and Red Squares where communist
Economics, Ethics, and Environmental Policy: Contested Choices offers a comprehensive analysis of the ethical problems associated with basing environmental policy on economic analysis, and ways to ove
Economics, Ethics, and Environmental Policy: Contested Choices offers a comprehensive analysis of the ethical problems associated with basing environmental policy on economic analysis, and ways to ove
The body occupies a prime position in contemporary theoretical work, yet still there is no consensus on exactly what it is and what constitutes it. Contested Bodies brings together a number of differe
Japan's Contested Constitution is essential reading for anyone with an interest in Japanese domestic politics and the international role of Japan. Subjects covered include;* the no war, `pacifist' cla
Some of the most pressing issues in the contemporary international order revolve around a frequently invoked but highly contested concept: sovereignty. To what extent does the concept of sovereignty -
In Contested Childhood, Holloway, an educational and developmental psychologist, examines the Japanese preschool and identifies the cultural models that guide Japanese child-rearing as being contentio
This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.
A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. T
Like all of Robert Harbison's works, Eccentric Spaces is a hybrid, informed by the author's interests in art, architecture, fiction, poetry, landscape, geography, history, and philosophy. The subject
The Contested Plains recounts the rise of the Native American horse culture, white Americans' discovery and pursuit of gold in the Rocky Mountains, and the wrenching changes and bitter conflicts that
How well do our designed environments- the places and spaces where we live, work, and play- meet our aesthetic and functional needs? Increasingly, the distinction between the spaces considered publi
Islamic mysticism was contested from the formative period of Islam till the present. Criticism of and opposition to mystical conceptions of Islam and their adherents constitute an integral part of an
In Contested Communities Thomas Miller Klubock analyzes the experiences of the El Teniente copper miners during the first fifty years of the twentieth century. Describing the everyday life and culture
Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions. Topics include families of sets, topological spaces, mappings of one set into another, ordered sets, more. Examples included from different domains. 1963 edition.
Korea versus Korea: A Case of Contested Legitimacy addresses the historic course of diplomatic competition between the rival Koreas within the context of a changing international system from 1948 to
In the highly influential mental-spaces framework developed by Gilles Fauconnier in the mid-1980s, the mind creates multiple cognitive "spaces" to mediate its understanding of relations and activities
Small Spaces is about living comfortably and using space wisely, and where better to find ideas on that subject than Japan, one of the world's most urban and densely populated countries? Tokyo residen
The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on its distribution only, and this property allows the results and methods associated with r.i. spaces to be applied to problems in probability theory. On the other hand, probabilistic methods can also prove useful in the study of r.i. spaces. In this book new techniques are used and a number of interesting results are given. Most of the results are due to the author but have never before been available in English. Here they are all presented together in a volume that will be essential reading for all serious researchers in this area.
Contested States examines how hegemony is created and facilitated through law as well as how people use legal arenas to resist oppression. The essays, written by anthropologists and historians, offer
This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.
This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronge
