Book:James R. Munkres/Topology/Second Edition

James R. Munkres: Topology, 2nd Ed.

Published $\text {2000}$, Prentice Hall

ISBN 0-13-181629-2

Subject Matter

• Topology
• Algebraic Topology

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

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