A First Course in Topology: Continuity and Dimension

John McCleary, Vassar College, Poughkeepsie, NY



Table of Contents

Front/Back Matter

Chapter 1. A little set theory
Chapter 2. Metric and topological spaces
Chapter 3. Geometric notions
Chapter 4. Building new spaces from old
Chapter 5. Connectedness
Chapter 6. Compactness
Chapter 7. Homotopy and the fundamental group
Chapter 8. Computations and covering spaces
Chapter 9. The Jordan Curve Theorem
Chapter 10. Simplicial complexes
Chapter 11. Homology