In this program
- Topological spaces, bases, and subspaces
- Continuity and homeomorphisms
- Product topologies
- Compactness: Heine–Borel, Tychonoff (introduction), sequential compactness
- Connectedness and path connectedness
Point-set topology
Topological spaces, bases, and subspaces
Topology · Theoretical / proof-based
Topic
Topological spaces, bases, and subspaces
Graduate Topology — scope drawn from Bradley–Bryson–Terilla Topology (MIT Press open chapters) and typical graduate point-set / algebraic topology intro syllabi.