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Topology

Topology - 2nd edition

ISBN13: 978-0131816299

Cover of Topology 2ND 00 (ISBN 978-0131816299)
ISBN13: 978-0131816299
ISBN10: 0131816292
Cover type: Hardback
Edition/Copyright: 2ND 00
Publisher: Prentice Hall, Inc.
Published: 2000
International: No
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Topology - 2ND 00 edition

ISBN13: 978-0131816299

James R. Munkres

ISBN13: 978-0131816299
ISBN10: 0131816292
Cover type: Hardback
Edition/Copyright: 2ND 00
Publisher: Prentice Hall, Inc.

Published: 2000
International: No
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

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.