1. Topological Spaces (16/8/2021).
  2. Bases and Metrics (23/8/2021).
  3. Subsets and Metrics (30/8/2021).
  4. Continuity (13/9/2021).
  5. More Topologies and Homeomorphisms (20/9/2021).
  6. Connectedness and Applications (11/10/2021).
  7. Separation Properties (18/10/2021).
  8. Countability and Compactness (25/10/2021).
  9. Compactness for Metrics and Compactification (1/11/2021).
  10. Products and Metrization (15/11/2021).
  11. Baire Theorem and Quotients (22/11/2021).

Assignments

Assignments will be posted roughly once a week.

  1. Topological Spaces due by Monday, Aug 16, 2021.
  2. Bases and Metrics due by Monday, Aug 23, 2021.
  3. Subsets and Metrics due by Monday, Aug 30, 2021.
  4. Continuity due by Monday, Sep 13, 2021.
  5. More Topologies and Homeomorphisms due by Monday, Sep 20, 2021.
  6. Connectedness and Applications due by Monday, Oct 11, 2021.
  7. Separation Properties due by Monday, Oct 18, 2021.
  8. Countability and Compactness due by Monday, Oct 25, 2021.
  9. Compactness for Metrics and Compactification due by Monday, Nov 1, 2021.
  10. Products and Metrization due by Monday, Nov 15, 2021.
  11. Baire Theorem and Quotients due by Monday, Nov 22, 2021.