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Topology

Topology - 2nd edition

Topology - 2nd edition

ISBN13: 9780131816299

ISBN10: 0131816292

Topology by James R. Munkres - ISBN 9780131816299
Edition: 2ND 00
Copyright: 2000
Publisher: Prentice Hall, Inc.
Published: 2000
International: No
Topology by James R. Munkres - ISBN 9780131816299

ISBN13: 9780131816299

ISBN10: 0131816292

Edition: 2ND 00

Summary

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures.

GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory.

For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

Table of Contents

Table of Contents

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.

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.


Index.

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