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Introduction to Uniform Spaces I. M. James (University of Oxford)

Introduction to Uniform Spaces By I. M. James (University of Oxford)

Introduction to Uniform Spaces by I. M. James (University of Oxford)


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Summary

Based on a course taught to an audience of undergraduate and graduate students at Oxford, this book can be viewed as a bridge between the study of metric spaces and general topological spaces.

Introduction to Uniform Spaces Summary

Introduction to Uniform Spaces by I. M. James (University of Oxford)

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.

Table of Contents

Introduction; 1. Uniform structures; 2. Induced and coinduced uniform structures; 3. The uniform topology; 4. Completeness and completion; 5. Topological groups; 6. Uniform transformation groups; 7. Uniform spaces over a base; 8. Uniform covering spaces; Exercises; Bibliography.

Additional information

NLS9780521386203
9780521386203
0521386209
Introduction to Uniform Spaces by I. M. James (University of Oxford)
New
Paperback
Cambridge University Press
1990-05-03
160
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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