Book:James R. Munkres/Topology/Second Edition

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James R. Munkres: Topology, 2nd Ed.

Published $2000$, Prentice Hall

ISBN 0-13-181629-2.


Subject Matter


Contents

Preface
A Note to the Reader
Part I GENERAL TOPOLOGY
1. Set Theory and Logic
2. Topological Spaces and Continuous Functions
3. Connectedness and Compactness
4. Countability and Separation Axioms
5. The Tychonoff Theorem
6. Metrization Theorems and Paracompactness
7. Complete Metric Spaces and Function Spaces
8. Baire Spaces and Dimension Theory
Part II ALGEBRAIC TOPOLOGY
9. The Fundamental Group
10. Separation Theorems in the Plane
11. The Seifert-van Kampen Theorem
12. Classification of Surfaces
13. Classification of Covering Spaces
14. Applications to Group Theory
Bibliography
Index