Homework

wk date reading assignment topic
1 3/27 Ch 0, p. 5-10 CW complexes; operations on spaces
3/29 Ch 0, p. 1-4, 11-13 Homotopy equivalence
3/31 Ch 0, p. 14-16 Homotopy Extension Property
Problem set #1
2 4/3 Ch 1.1, p. 21-24, 29-33 Winding Number
4/5 Ch 1.1, p. 25-28 Fundamental group
4/7 Ch 1.1, p. 34-37 Functoriality
Problem set #2
3 4/10 Ch 1.2, p. 40-42, 44 Van Kampen, surjectivity
4/12 Ch 1.2, p. 43-46 Van Kampen, kernel
4/14 Ch 1.2, p. 46-52 Van Kampen, CW complexes
Homework from Hatcher:p. 53-54: Problems 4, 9, 8, 10, 14, 16.
4 4/17 (no class)
4/19 Ch 1.3, p. 56-63 Lifting properties
4/21 - (continued)
5 4/24 Ch 1.3, p. 63-65 Universal cover
4/26 Ch 1.3, p. 66-68 Galois correspondence
4/28 Ch 1.3, p. 70-74 Deck transformations
Problem set #4
6 5/1 Ch 2, 2.1, p. 95-107 Simplicial homology
5/3 Ch 2.1, p. 108-110 Singular homology
5/5 Ch 2.1, p. 111-113 Homotopy invariance
Problem set #5
7 5/8 Ch 2.1, p. 113-118 Long exact sequence
5/10 Ch 2.1, p. 119-126 Excision
5/12 Ch 2.1, p. 127-130 Eilenberg-Steenrod axioms
Ch 2.3, p. 160-165
Homework from Hatcher:p. 132-133: Problems 16, 18, 20, 21, 24; p. 165 Problem 4.
8 5/15 Ch 2.2, p. 134-140 Cellular homology
5/17 Ch 2.2, p. 141-148 Computations
5/19 Ch 2.1, p. 149-153 Mayer-Vietoris
Problem set #7