Introduction to Uniform Spaces
Introduction to Uniform Spaces
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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.
Product details
May 2013Adobe eBook Reader
9781107108233
0 pages
0kg
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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.
