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Unit 19: The Urysohn Lemma 173
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Unit 20: The Urysohn Metrization Theorem 180
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Unit 21: The Tietze Extension Theorem 186
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Unit 22: The Tychonoff Theorem 190
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Unit 23: The Stone-Cech Compactification 195
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Unit 24: Local Finiteness and Paracompactness 201
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Unit 25: The Nagata-Smirnov Metrization Theorem 209
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Unit 26: The Smirnov Metrization Theorem 214
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Unit 27: Complete Metric Spaces 217
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Unit 28: Compactness in Metric Spaces 226
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Unit 29: Pointwise and Compact Convergence 238
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Unit 30: Ascoli’s Theorem 243
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Unit 31: Baire Spaces 248
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Unit 32: Introduction to Dimension Theory 253
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