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9780131816299

Topology

by
  • ISBN13:

    9780131816299

  • ISBN10:

    0131816292

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1999-12-28
  • Publisher: Pearson
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Supplemental Materials

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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.

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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