HUNTERTUTORING

Separation and countability

Introductory topology · Theoretical / proof-based

Hausdorff spaces and separation axioms (T0–T4 overview)

Objectives

  • Hausdorff spaces and separation axioms (T0–T4 overview)
  • Limit points and derived sets
  • First- and second-countability; separable spaces
  • Metric spaces as topological spaces; equivalence of definitions
  • Completeness in metric spaces (introduction)

Study materials