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Preface | ||
Ch. 1 | What Topology Is About | 3 |
Ch. 2 | Axioms for R | 23 |
Ch. 3 | Convergent Sequences and Continuity | 36 |
Ch. 4 | Curves in the Plane | 52 |
Ch. 5 | Metrics | 81 |
Ch. 6 | Open and Closed Sets | 99 |
Ch. 7 | Completeness | 117 |
Ch. 8 | Uniform Convergence | 129 |
Ch. 9 | Sequential Compactness | 144 |
Ch. 10 | Convergent Nets | 156 |
Ch. 11 | Transition to Topology | 171 |
Ch. 12 | Topological Spaces | 187 |
Ch. 13 | Compactness and the Hausdorff Property | 202 |
Ch. 14 | Products and Quotients | 215 |
Ch. 15 | The Hahn-Tietze-Tong-Urysohn Theorems | 231 |
Ch. 16 | Connectedness | 249 |
Ch. 17 | Tychonoff's Theorem | 270 |
Ch. 18 | A Smorgasbord for Further Study | 285 |
Ch. 19 | Countable Sets | 295 |
A Farewell to the Reader | 304 | |
Literature | 306 | |
Index of Symbols | 307 | |
Index of Terms | 309 |
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