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