Table of Contents
Study Materials
Readings
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Munkres, James. Topology. 2nd ed. Upper Saddle River, NJ: Prentice Hall, 28 December 1999. ISBN: 0131816292. Please refer to the errata sheet (PDF). | WEEK # | TOPICS | READINGS |
|---|---|---|
| 1 | Ses 1: Logic and Foundations | Sec. 1-2 |
| 2 | Ses 2-3: Relations, Cardinality, Axiom of Choice | Sec. 3-9 |
| 3 | Ses 4-5: Topologies, Closed Sets | Sec. 12-17 |
| 4 | Ses 6-7: Continuous Functions, Arbitrary Products | Sec. 18-19 |
| 5 | Ses 8-9: Metric Topologies | Sec. 20-21 |
| 6 | Ses 10: Quotient Topology | Sec. 22 |
| 7 | Ses 11-12: Connected Spaces, Compact Spaces | Sec. 23-26 |
| 8 | Ses 13-14: More about Compactness | Sec. 27-29 |
| 9 | Ses 15: Well-ordered Sets, Maximum Principle Ses 16: Midterm Exam | Sec. 10-11 |
| 10 | Ses 17-18: Countability and Separation Axioms | Sec. 30-32 |
| 11 | Ses 19-20: Urysohn Lemma, Metrization | Sec. 33-34 |
| 12 | Ses 21: Tietze Theorem | Sec. 35 |
| 13 | Ses 22-23: Tychonoff Theorem, Stone-Cech Compactification | Sec. 37-38 |
| 14 | Ses 24-25: Baire Spaces, Dimension Theory | pp. 264-267, pp. 294-296, pp. 304-308, Theorem 50.6 |
| 15 | Ses 26: Imbedding in Euclidean Space | Sec. 36, pp. 309-313 |
| Final Exam |