A First Course in Topology: Continuity and Dimension

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Table of Contents:


  • Introduction .
  • A Little Set Theory.
  • Metric and Topological Spaces.
  • Geometric Notions.
  • Building New Spaces from Old.
  • Connectedness.
  • Compactness.
  • Homotopy and the Fundamental Group.
  • Computations and Covering Spaces.
  • The Jordan Curve Theorem.
  • Simplicial Complexes.
  • Homology.
  • References.