Introduction to Uniform Spaces

Author:   I. M. James (University of Oxford)
Publisher:   Cambridge University Press
Volume:   144
ISBN:  

9780511721519


Publication Date:   05 April 2013
Format:   Undefined
Availability:   Available To Order   Availability explained
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Introduction to Uniform Spaces


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Overview

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.

Full Product Details

Author:   I. M. James (University of Oxford)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   144
ISBN:  

9780511721519


ISBN 10:   051172151
Publication Date:   05 April 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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.

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