3. Open sets

Notes

• Complete lecture notes
• Blank lecture notes

Videos

Part 1 (page 26)

Part 2 (pages 27-28)

Part 3 (pages 29-31)

Part 4 (pages 32-33)

Page links

• Page 26: Review: metric spaces and continuous functions.
• Page 27: Equivalent metrics and continuous functions.
• Page 28: Examples of equivalent and non-equivalent metrics.
• Page 29: Open sets in a metric space.
• Page 30: Open sets and equivalent metrics. Properties of open sets.
• Page 31: Open sets and continuous functions.
• Page 32: Topological spaces: definition and first examples.
• Page 33: Metrizable and non-metrizable spaces.

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