Contents Introduction Chapter 1. A Little Set Theory Equivalence relations The Schroder-Bernstein Theorem The problem of Invariance of Dimension Chapter 2. Metric and Topological Spaces Continuity Chapter 3. Geometric Notions Chapter 4. Building New Spaces from Old Subspaces Products Quotients Chapter 5. Connectedness Path-connectedness Chapter 6. Compactness Chapter 7. Homotopy and the Fundamental Group
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