Math 544, Autumn 2017 - Homework Assignments

W
K
Reading Report Due
by 4 PM
Work (W)
ALL exercises in reading, plus ...
Hand In (HI) HI Due
1 Appendices A & B;
*part of Preface; *Ch. 1;
Ch. 2 at least to p. 38
^Sun. 10/1 A.4: need not prove all parts.
2-1, 2-4
A.3, 2-5, 2-6, 2-7, 2-10, 2-17 W 10/4
2 Appendix C, finish ch. 2,
Ch. 3, Ch. 4 pp. 85-93
^Sun. 10/8 2-11, 2-19,
3-4, 3-6, 3-11, 3-12
3-1, 3-5, 3-10, 3-14, 3-16 with addition:
See Comments on 3-1, 3-14, 3-16.
W 10/11
3 Finish Ch. 4; may skip
Thm. 4.68 thru p. 108
^Sun. 10/15 3-19, 3-21,
4-4, 4-5, 4-7, 4-9
3-22, 3-23,
4-1, 4-2, 4-3, 4-13
W 10/18
4 Ch. 5; Abst. S.C.
(p. 153 ff.) optional
^Sun. 10/22 4-17, 4-20, 4-22, 4-24, 4-25 4-181, 4-19, 4-231, 4-26, 4-27 W 10/25
5 Ch. 6 ^Sun. 10/29 5-5, read 5-13 4-30, 5-12, 5-32, 5-6, 5-12 W 11/1
6 Ch. 7 to at least p. 205 ^Sun. 11/5 none Midterm will be posted
at the course Workspace.
Th 11/9
7 pp. 209-214, Ch. 8 flexible 6-1, 6-3, 7-7 6-23, 7-3, 7-4, 7-5, 7-14 W 11/15
8 (Finish 8), Ch. 9 ^Sun. 11/19 7-10, 8-2 7-18, 7-19, 8-1, 8-3 W 11/22
9 Ch. 10 to p.268 ^Sun. 11/26 If categorically inclined,
read 9-9
8-4 (hint: Prop. 7.16), 8-6, 8-7,
9-4, 9-5
W 11/29
10 Ch. 11; if possible,
pp. 307-316 of Ch. 12
^Sun. 12/3 10-12; If categorically
inclined, read 10-21
10-6, 10-7, 10-9,
11-2, 11-9
W 12/6
Exam
Week
Take-home Final is posted
at the course Workspace
Th 12/14
1In 4-18: You may choose a convenient f. (The reference to 4-17 suggests you might have to work with a given f, but this isn't necessary.)
In 4-23: You may assume X is not empty. (The results are true for the empty set, but let's eliminate any need to give extra arguments for this case.)
2In 5-1 & 5-3: To avoid trivial cases, assume cells and manifolds have nonzero dimension.
3For 6-2, give proof similar to that for Lemma 6.16: as a sequence of presentations related by elementary transformations, with a sequence of sketches illustrating the presentations.

*In the Preface, at least read the paragraph spanning pp. vi-vii and the section on "Exercises and Problems," pp. x-xi.
In Chapter 1, you may skip any part of pp. 9-17 that you find uninteresting.
^For Reading Report questions: see Homework guidelines.

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Most recently updated on December 10, 2017.