Introduction to Uniform Spaces

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Paperback | 2 July 1990

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160 Pages

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22.86 x 15.24 x 0.94

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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.

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You Can Find This Book In

Non-Fiction Mathematics Topology Algebraic Topology Geometry

Introduction
Uniform structures	p. 1
Induced and coinduced uniform structures	p. 16
The uniform topology	p. 29
Completeness and completion	p. 50
Topological groups	p. 70
Uniform transformation groups	p. 89
Uniform spaces over a base	p. 98
Uniform covering spaces	p. 111
Filters	p. 122
Exercises	p. 130
Bibliography	p. 137
Index	p. 139
Table of Contents provided by Syndetics. All Rights Reserved.

Introduction to Uniform Spaces

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