4. Basis, subbasis, subspace

Notes

• Complete lecture notes
• Blank lecture notes

Videos

Part 1 (pages 34-35)

Part 2 (pages 36-37)

Part 3 (pages 38-40)

Page links

• Page 34: Motivation. Basis.
• Page 35: Topology defined by a basis. Examples.
• Page 36: Subbasis of a topology
• Page 37: Topology, basis, subbasis: a comparison. Continuity of functions and (sub)basis.
• Page 38: Subspace topology.
• Page 39: Example: spheres. Subspaces and continuous functions.
• Page 40: (Sub)basis of a subspace topology.

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