Topology and continuity
Real analysis · Theoretical / proof-based
Topology of R: open and closed sets, compactness, and the Heine–Borel theorem
Objectives
- Topology of R: open and closed sets, compactness, and the Heine–Borel theorem
- Limits of functions; sequential characterization of limits
- Continuity; extreme value and intermediate value theorems (with proofs)
- Uniform continuity and its distinction from pointwise continuity
Study materials
- Practice testComing soon