Introduction to Metric and Topological Spaces

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Author(s): Wilson A. Sutherland
Series: Oxford Mathematics
Edition: 2 ed.
Publisher: Oxford University Press
Year: 2009

Language: English
Pages: 224


Preface
1. Introduction
2. Notation and terminology
3. More on sets and functions
4. Review of some real analysis
5. Metric spaces
6. More concepts in metric spaces
7. Topological spaces
8. Continuity in topological spaces; bases
9. Some concepts in topological spaces
10. Subspaces and product spaces
11. The Hausdorff condition
12. Connected spaces
13. Compact spaces
14. Sequential compactness
15. Quotient spaces and surfaces
16. Uniform convergence
17. Complete metric spaces
References
Index