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Topology (Classic Version), 2nd edition

  • James R. Munkres

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Overview

Topology provides balanced coverage of both general, point-set topology and algebraic topology. Author James Munkres presents a consistent set of basic core topics for each type of topology.

The 2nd Edition offers expanded coverage of algebraic topology, including extensive treatment of the fundamental group and covering spaces. This edition also presents a wealth of applications to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces. The text's final chapter provides an application to group theory itself.

Published by Pearson (June 1st 2023) - Copyright © 2023

ISBN-13: 9780137848669

Subject: Advanced Math

Category: Topology

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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