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Introduction to Uniform Spaces

1990-05-03 Mathematics
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Release : 1990-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 203/5 ( reviews)

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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. This book was released on 1990-05-03. 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

1990 Electronic books
Download Introduction to Uniform Spaces PDF Online Free

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Release : 1990
Genre : Electronic books
Kind : eBook
Book Rating : 774/5 ( reviews)

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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. This book was released on 1990. 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

1990 Electronic books
Download Introduction to Uniform Spaces PDF Online Free

Author :
Release : 1990
Genre : Electronic books
Kind : eBook
Book Rating : 184/5 ( reviews)

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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. This book was released on 1990. 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.

Lectures on Coarse Geometry

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 324/5 ( reviews)

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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. This book was released on 2003. 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

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 160/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

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