| Sep 22 | What is a topological space? (1.2) Subbases (1.3) Munkres: 12, 13 |
| Sep 27 | Bases (1.3) Subspaces (1.4) Closed sets (1.5) Munkres: 13, 16, 17 |
| Sep 29 |
Closure and interior (1.6) Continuous functions (1.7) Munkres: 17, 18 |
| Oct 4 | Continuous functions (1.7) Munkres: 18 |
| Oct 6 | Homeomorphisms and embeddings (1.8) Product spaces (2.1) Munkres: 18, 15, 19 |
| Oct 7 | HW 1 due |
| Oct 11 | Metric spaces (2.2) Munkres: 20 |
| Oct 13 | Hausdorff spaces (2.3) Quotient spaces (2.4) Munkres: 17, 22 |
| Oct 14 | HW 2 due |
| Oct 18 | Quotient spaces (2.4) Connected spaces (3.1) Munkres: 23, 24 |
| Oct 20 | Midterm 1 |
| Oct 25 | Connected spaces (3.1) Path-connected spaces (3.2) Munkres: 23, 24 |
| Oct 27 | Components and local versions of (path-)connected (3.3) Munkres: 25 |
| Oct 28 | HW 3 due |
| Nov 1 | Components and local versions of (path-)connected (3.3) Compact spaces (4.1) Munkres: 25, 26, 27 |
| Nov 3 | Compact spaces (4.1) Munkres: 26, 27 |
| Nov 4 | HW 4 due |
| Nov 8 | Compact spaces (4.1) Variants of compactness (4.2) Local compactness and one-point compactifications (4.3) Munkres: 26, 28, 29 |
| Nov 10 | Midterm 2 |
| Nov 15 | Local compactness and one-point compactifications (4.3) Munkres: 29 |
| Nov 17 | Local compactness and one-point compactifications (4.3) Countability axioms (5.1) Separation axioms (5.2) Munkres: 29, 30, 31, 32 |
| Nov 21 | HW 5 due |
| Nov 22 | Urysohn's lemma (5.3) Urysohn metrization theorem (5.4) Munkres: 33, 34 |
| Nov 24 | Holiday - no class |
| Nov 29 | Topological manifolds (5.5) Munkres: 36 |
| Dec 1 | Wrap up and preview discussion of algebraic topology and other followup topics |
| Dec 2 | HW 6 due |
| Dec 9 | Final exam: 11:30AM-2:29PM in APM B412. |