12. Urysohn metrization theorem

Notes

• Complete lecture notes
• Blank lecture notes

Videos

Part 1 (page 88)

Part 2 (page 89)

Part 3 (pages 90-92)

Part 4 (page 93-94)

Part 5 (page 95)

Part 6 (page 96)

Page links

• Page 88: Introduction.
• Page 89: Embeddings of topological spaces.
• Page 90: Product topology.
• Page 91: Continuous functions on product spaces.
• Page 92: Products of metrizable spaces.
• Page 93: Separating families of functions.
• Page 94: Embedding lemma.
• Page 95: Proof of the Urysohn metrization theorem.
• Page 96: Nagata-Smirnov metrization theorem.

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