Topology: A First Course

Hardcover | December 28, 1999

byJames Munkres

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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.

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From the Publisher

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....

From the Jacket

This introduction to topology provides separate, indepth 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. Metrizat...

Format:HardcoverDimensions:537 pages, 9.3 × 7.3 × 1.1 inPublished:December 28, 1999Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0131816292

ISBN - 13:9780131816299

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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.