Introduction to the analysis of metric spaces /
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1987
Cambridge [Cambridgeshire] ; New York : c1987 Cambridge [Cambridgeshire] ; New York : 1987 |
| Series: | Australian Mathematical Society lecture series
3 Australian Mathematical Society lecture series ; 3 Australian Mathematical Society lecture series ; 3 Australian Mathematical Society lecture series 3 |
| Subjects: |
Table of Contents:
- Part I Metric Spaces and Normed Linear Spaces:
- 1. Definitions and examples
- 2. Balls and boundedness
- Part II. Limit Processes:
- 3. Convergence and completeness
- 4. Cluster points and closure
- 5. Application: Banach's fixed point theorem
- Part III. Continuity:
- 6. Continuity in metric spaces
- 7. Continuous linear mappings
- Part IV. Compactness:
- 8. Sequential compactness in metric spaces
- 9. Continuous functions on compact metric spaces
- Part V. The Metric Topology:
- 10. The topological analysis of metric spaces.