Introduction to metric and topological spaces
This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and compl...
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| Format: | eBook |
| Language: | English |
| Published: |
Oxford :
Oxford University Press,
2009
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| Genre/form: | monografie elektronické knihy |
| ISBN: | 978-0-19-156830-5 978-0-19-956308-1 978-0-19-956307-4 |
| Subjects: | |
| Online Access: | Plný text |
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Table of Contents:
- 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
- 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