18.901 | Fall 2004 | Undergraduate

Introduction to Topology

Calendar

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

Course Info

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Fall 2004
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