| 1 |
Ses 1: Logic and Foundations |
Problem set 0 due |
| 2 |
Ses 2-3: Relations, Cardinality, Axiom of Choice |
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| 3 |
Ses 4-5: Topologies, Closed Sets |
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| 4 |
Ses 6-7: Continuous Functions, Arbitrary Products |
Problem set 1 due at second session of the week |
| 5 |
Ses 8-9: Metric Topologies |
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| 6 |
Ses 10: Quotient Topology |
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| 7 |
Ses 11-12: Connected Spaces, Compact Spaces |
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| 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 |
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| 10 |
Ses 17-18: Countability and Separation Axioms |
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| 11 |
Ses 19-20: Urysohn Lemma, Metrization |
Problem set 3 due at second session of the week |
| 12 |
Ses 21: Tietze Theorem |
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| 13 |
Ses 22-23: Tychonoff Theorem, Stone-Cech Compactification |
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| 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 |
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Final Exam |
Optional problem set 5 due |