Introduction To Uniform Spaces

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Introduction to Uniform Spaces

Author : I. M. James
Publisher : Cambridge University Press
ISBN 13 : 9780521386203
Total Pages : 160 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Introduction to Uniform Spaces by : I. M. James

Download or read book Introduction to Uniform Spaces written by I. M. James and published by Cambridge University Press. This book was released on 1990-05-03 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Uniform Spaces

Author : Ioan Mackenzie James
Publisher :
ISBN 13 : 9781107102774
Total Pages : 148 pages
Book Rating : 4.1/5 (27 download)

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Book Synopsis Introduction to Uniform Spaces by : Ioan Mackenzie James

Download or read book Introduction to Uniform Spaces written by Ioan Mackenzie James and published by . This book was released on 1990 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Uniform Spaces

Author : Ioan Mackenzie James
Publisher :
ISBN 13 : 9781107091184
Total Pages : 148 pages
Book Rating : 4.0/5 (911 download)

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Book Synopsis Introduction to Uniform Spaces by : Ioan Mackenzie James

Topological and Uniform Spaces

Author : I.M. James
Publisher : Springer Science & Business Media
ISBN 13 : 1461247160
Total Pages : 173 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Topological and Uniform Spaces by : I.M. James

Download or read book Topological and Uniform Spaces written by I.M. James and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular pre requisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a genera tion ago.

Close relations

Author : Brandon Jeremiah Taylor Booth
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Close relations by : Brandon Jeremiah Taylor Booth

Download or read book Close relations written by Brandon Jeremiah Taylor Booth and published by . This book was released on 1984 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Coarse Geometry

Author : John Roe
Publisher : American Mathematical Soc.
ISBN 13 : 0821833324
Total Pages : 184 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Coarse Geometry by : John Roe

Download or read book Lectures on Coarse Geometry written by John Roe and published by American Mathematical Soc.. This book was released on 2003 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space.

Topological and Uniform Spaces

Author : Ioan Mackenzie James
Publisher :
ISBN 13 : 9783540964667
Total Pages : 163 pages
Book Rating : 4.9/5 (646 download)

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Book Synopsis Topological and Uniform Spaces by : Ioan Mackenzie James

Download or read book Topological and Uniform Spaces written by Ioan Mackenzie James and published by . This book was released on 1987 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec- tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular pre- requisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account.Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale 2], the definitive treatment of the subject which first appeared over a genera- tion ago.

Introduction to General Topology

Author : K. D. Joshi
Publisher : New Age International
ISBN 13 : 9780852264447
Total Pages : 430 pages
Book Rating : 4.2/5 (644 download)

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Book Synopsis Introduction to General Topology by : K. D. Joshi

Download or read book Introduction to General Topology written by K. D. Joshi and published by New Age International. This book was released on 1983 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Analysis and Topology

Author : Norman R. Howes
Publisher : Springer Science & Business Media
ISBN 13 : 1461208335
Total Pages : 434 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modern Analysis and Topology by : Norman R. Howes

Download or read book Modern Analysis and Topology written by Norman R. Howes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis.

Uniform Spaces

Author : Evelyn Marie Silvia
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (339 download)

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Book Synopsis Uniform Spaces by : Evelyn Marie Silvia

Download or read book Uniform Spaces written by Evelyn Marie Silvia and published by . This book was released on 1971 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uniform Spaces

Author : Arnold Ray Steffensen
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (826 download)

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Book Synopsis Uniform Spaces by : Arnold Ray Steffensen

Download or read book Uniform Spaces written by Arnold Ray Steffensen and published by . This book was released on 1966 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uniform Distribution of Sequences

Author : L. Kuipers
Publisher : Courier Corporation
ISBN 13 : 0486149994
Total Pages : 416 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Uniform Distribution of Sequences by : L. Kuipers

Download or read book Uniform Distribution of Sequences written by L. Kuipers and published by Courier Corporation. This book was released on 2012-05-24 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.

Uniform Spaces

Author : Howard Leslie Egan
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (257 download)

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Book Synopsis Uniform Spaces by : Howard Leslie Egan

Download or read book Uniform Spaces written by Howard Leslie Egan and published by . This book was released on 1962 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis on Polish Spaces and an Introduction to Optimal Transportation

Author : D. J. H. Garling
Publisher : Cambridge University Press
ISBN 13 : 1108421571
Total Pages : 359 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Analysis on Polish Spaces and an Introduction to Optimal Transportation by : D. J. H. Garling

Download or read book Analysis on Polish Spaces and an Introduction to Optimal Transportation written by D. J. H. Garling and published by Cambridge University Press. This book was released on 2018 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

Computational Analysis

Author : George A. Anastassiou
Publisher : Springer
ISBN 13 : 3319284436
Total Pages : 396 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Computational Analysis by : George A. Anastassiou

Download or read book Computational Analysis written by George A. Anastassiou and published by Springer. This book was released on 2016-06-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015. The goal of the conference, and this volume, is to bring together key work from researchers in all areas of approximation theory, covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. These topics are presented both within their traditional context of approximation theory, while also focusing on their connections to applied mathematics. As a result, this collection will be an invaluable resource for researchers in applied mathematics, engineering and statistics.

Nonlinear Analysis and Applications

Author : V. Lakshmikantham
Publisher : Springer Science & Business Media
ISBN 13 : 9781402017117
Total Pages : 618 pages
Book Rating : 4.0/5 (171 download)

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Book Synopsis Nonlinear Analysis and Applications by : V. Lakshmikantham

Download or read book Nonlinear Analysis and Applications written by V. Lakshmikantham and published by Springer Science & Business Media. This book was released on 2003 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Groups and Related Structures, An Introduction to Topological Algebra.

Author : Alexander Arhangel’skii
Publisher : Springer Science & Business Media
ISBN 13 : 949121635X
Total Pages : 794 pages
Book Rating : 4.4/5 (912 download)

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Book Synopsis Topological Groups and Related Structures, An Introduction to Topological Algebra. by : Alexander Arhangel’skii

Download or read book Topological Groups and Related Structures, An Introduction to Topological Algebra. written by Alexander Arhangel’skii and published by Springer Science & Business Media. This book was released on 2008-05-01 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this is the case when they are both determined by the nature of the elements of the set considered (a group of transformations is a typical example). The rules that describe the relationship between a topology and an algebraic operation are almost always transparentandnatural—theoperationhastobecontinuous,jointlyorseparately.