In this program
- Hausdorff spaces
- Separation axioms (T0–T4 overview)
- Limit points and derived sets
- First- and second-countability
- Metric spaces as topological spaces
- Completeness in metric spaces (introduction)
Separation and countability
Completeness in metric spaces (introduction)
Introductory topology · Theoretical / proof-based
Topic
Completeness in metric spaces (introduction)
Undergraduate Introductory Topology — scope drawn from open topology notes (metric/topological spaces) and typical US intro topology syllabi.