Introduction to uniform spaces
著者
書誌事項
Introduction to uniform spaces
（London Mathematical Society lecture note series, 144）
Cambridge University Press, 1990
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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