Differential Topology Week 1: Elementary topology (Part 2/2)

00:00 Recap of the in-person session from Week 1 (Part 1/2)
05:02 Connected sets refresher
09:22 Continuous functions & homeomorphisms
18:45 Path-connected sets
23:50 Correction to definition of product topology
24:12 Subspace topology
39:09 Product and box topologies (check corrected definition from earlier)
52:40 Limit-point compactness
01:00:56 Compactness
01:06:38 Discussion of exercises
01:08:11 Some common topological spaces