Introduction to Metric and Topological Spaces

Introduction Notation and Terminology 1. Review of Some Real Analysis 2. Continuity Generalized: Metric Spaces 3. Continuity Generalized: Topological Spaces 4. The Hausdorff Condition 5. Compact Spaces 6. Connected Spaces 7. Compactness Again: Convergence in Metric Spaces 8. Uniform Convergence 9. Complete Metric Spaces 10. Criteria for Compactness in Metric Spaces 11. Appendix 12. Guide to Exercises Bibliography IndexSutherland, Wilson A. is the author of 'Introduction to Metric and Topological Spaces', published 1975 under ISBN 9780198531616 and ISBN 0198531613.