5. Closed Sets, interior, closure, boundary

Notes

• Complete lecture notes
• Blank lecture notes

Videos

Part 1 (pages 41-42)

Part 2 (pages 43-45)

Part 3 (pages 46-50)

Page links

• Page 41: Closed sets: definition, examples.
• Page 42: Properties of closed sets.
• Page 43: Convergent sequences and closed sets in metric spaces.
• Page 44: Convergence of sequences in topological spaces.
• Page 45: Convergent sequences and closed sets in topological spaces.
• Page 46: Interior, closure, boundary: definition, and first examples.
• Page 47: Properties of the interior and closure of a set.
• Page 48: Points in the interior of a set.
• Page 49: Points in the closure and in the boundary.
• Page 50: Dense sets.

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