Description

Book Synopsis


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 Covering Spaces.
13. Classification of Surfaces.
Index.

Topology

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    A Paperback / softback by James Munkres

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      Book details

      Publisher Pearson Education Limited
      Published 24 July 2013
      ISBN-13 9781292023625
      978-1292023625
      ISBN-10 1292023627
      Also in:
      Mathematics Topology

      Description

      Book Synopsis


      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 Covering Spaces.
      13. Classification of Surfaces.
      Index.

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