In this program
- Compactness
- Sequential compactness in metric spaces
- Heine–Borel
- Bolzano–Weierstrass in R^n
- Connected
- Path-connected spaces
- Compactness of continuous images
- Extreme value theorem (topological proof)
- See all →
Compactness and connectedness
Extreme value theorem (topological proof)
Introductory topology · Theoretical / proof-based
Topic
Extreme value theorem (topological proof)
Undergraduate Introductory Topology — scope drawn from open topology notes (metric/topological spaces) and typical US intro topology syllabi.