Courses:

Introduction to Topology >> Content Detail



Study Materials



Readings

Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.
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

 








© 2017 Coursepedia.com, by Higher Ed Media LLC. All Rights Reserved.