Topologies and Uniformities
This book is based on lectures I have given to senior undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the p...
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| Format: | eBook |
| Language: | English |
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London
Springer London
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Springer Undergraduate Mathematics Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Topological Spaces
- 2 Continuity
- 3 The Induced Topology and Its Dual
- 4 Open Functions and Closed Functions
- 5 Compact Spaces
- 6 Separation Conditions
- 7 Uniform Spaces
- 8 The Uniform Topology
- 9 Connectedness
- 10 Countability and Related Topics
- 11 Functional Separation Conditions
- 12 Completeness and Completion
- Select Bibliography
- Solutions to Exercises