Introduction to Uniform Spaces

I. M. James (Author)

9780521386203, Cambridge University Press

Paperback, published 3 May 1990

160 pages
22.9 x 15.2 x 0.9 cm, 0.24 kg

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
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.

Subject Areas: Algebraic topology [PBPD]