Topology II

SCHEDULE & HOMEWORK

Homework should be completed by the last date listed in the middle column in the row that aligns with the bottom of the corresponding homework box (so the first assignment should be completed by Jan 27, for example).   We will typically just go over the problems in class, either on that day or the next, with students presenting solutions (to the extent that they were found) on the board.   Unless you are notified ahead of time to the contrary, homework is not to be turned in.

ChapterSectionSubsectionHomework
Chapter 0: Some Underlying Geometric Notions 1/13-15: Homotopy and Homotopy Type #3, 4, 10.
1/20-22: The Homotopy Extension Property
1/27: Homework
Chapter 1: The Fundamental Group 1.1: Basic Constructions 1/29-2/5: The Fundamental Group of the Circle #1, 3, 6, 12, 16.
2/10: Paths and Homotopy
2/12-17: Induced Homomorphisms
2/19: Homework
1.2: Van Kampen's Theorem 2/26: Free Products of Groups #3, 9, 10, 14.
3/3-5: The van Kampen Theorem
3/10: Applications to Cell Complexes
3/12: Homework
1.3: Covering Spaces 3/24-26: Covering Spaces #4, 9, 10, 12, 15.
3/31-4/2: Lifting Properties
4/7-16: The Classification of Covering Spaces
4/21-30: Deck Transformations and Group Actions  

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USA Math Dept USA Last Modified 2nd Apr 09