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 Surfaces.
  • 13. Classification of Covering Spaces.
  • 14. Applications to Group Theory.
  • Index.

Topology Classic Version

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    A Paperback by James R. Munkres

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      Publisher: Pearson Education
      Publication Date: Publication Date: 12/25/2017 12:00:00 AM
      ISBN13: 9780134689517, 978-0134689517
      ISBN10: 0134689518
      Also in:
      Mathematics

      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 Surfaces.
      • 13. Classification of Covering Spaces.
      • 14. Applications to Group Theory.
      • Index.

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