| WEEK # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Ses 1: Logic and Foundations | Problem set 0 due |
| 2 | Ses 2-3: Relations, Cardinality, Axiom of Choice | |
| 3 | Ses 4-5: Topologies, Closed Sets | |
| 4 | Ses 6-7: Continuous Functions, Arbitrary Products | Problem set 1 due at second session of the week |
| 5 | Ses 8-9: Metric Topologies | |
| 6 | Ses 10: Quotient Topology | |
| 7 | Ses 11-12: Connected Spaces, Compact Spaces | |
| 8 | Ses 13-14: More about Compactness | Problem set 2 due at second session of the week |
| 9 | Ses 15: Well-ordered Sets, Maximum Principle Ses 16: Midterm Exam |
|
| 10 | Ses 17-18: Countability and Separation Axioms | |
| 11 | Ses 19-20: Urysohn Lemma, Metrization | Problem set 3 due at second session of the week |
| 12 | Ses 21: Tietze Theorem | |
| 13 | Ses 22-23: Tychonoff Theorem, Stone-Cech Compactification | |
| 14 | Ses 24-25: Baire Spaces, Dimension Theory | Problem set 4 due at second session of the week |
| 15 | Ses 26: Imbedding in Euclidean Space | |
| Final Exam | Optional problem set 5 due |