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Introduction to Topology >> Content Detail



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Readings

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The readings are in the textbook: Amazon logo Munkres, James. Topology. 2nd ed. Upper Saddle River, NJ: Prentice Hall, 28 December 1999. ISBN: 0131816292. Please refer to the errata sheet (PDF).

WEEK #TOPICSREADINGS
1Ses 1: Logic and FoundationsSec. 1-2
2Ses 2-3: Relations, Cardinality, Axiom of ChoiceSec. 3-9
3Ses 4-5: Topologies, Closed SetsSec. 12-17
4Ses 6-7: Continuous Functions, Arbitrary ProductsSec. 18-19
5Ses 8-9: Metric TopologiesSec. 20-21
6Ses 10: Quotient TopologySec. 22
7Ses 11-12: Connected Spaces, Compact SpacesSec. 23-26
8Ses 13-14: More about CompactnessSec. 27-29
9Ses 15: Well-ordered Sets, Maximum Principle

Ses 16: Midterm Exam
Sec. 10-11
10Ses 17-18: Countability and Separation AxiomsSec. 30-32
11Ses 19-20: Urysohn Lemma, MetrizationSec. 33-34
12Ses 21: Tietze TheoremSec. 35
13Ses 22-23: Tychonoff Theorem, Stone-Cech CompactificationSec. 37-38
14Ses 24-25: Baire Spaces, Dimension Theory

pp. 264-267, pp. 294-296, pp. 304-308, Theorem 50.6

15Ses 26: Imbedding in Euclidean SpaceSec. 36, pp. 309-313
Final Exam

 








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