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Introduction to uniform spaces / I.M. James.
- Format:
- Book
- Author/Creator:
- James, I. M. (Ioan Mackenzie), 1928- author.
- Series:
- London Mathematical Society lecture note series ; 144.
- London Mathematical Society lecture note series ; 144
- Language:
- English
- Subjects (All):
- Uniform spaces.
- Physical Description:
- 1 online resource (148 pages) : digital, PDF file(s).
- Place of Publication:
- Cambridge : Cambridge University Press, 1990.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Uniform structures
- Induced and coinduced uniform structures
- The uniform topology
- Completeness and completion
- Topological groups
- Uniform transformation groups
- Uniform spaces over a base
- Uniform covering spaces
- Filters.
- Notes:
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
- Includes bibliographical references (p. [137]-138) and index.
- ISBN:
- 1-139-88455-7
- 1-107-10018-6
- 1-107-08814-3
- 1-107-09118-7
- 1-107-09430-5
- 1-107-10277-4
- 0-511-72151-X
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