Math 544 Homework Assignments

Week Reading Report Due
at noon
Work (W)
ALL exercises in reading, plus ...
Hand In (HI) HI Due
1 *Preface, Appendices
A & B, Ch.1, & Ch. 2
**Sun. 9/29 You may do only some of A.4,
then be sure to do A.5 & A.6; 2-1
A.3, 2-5, 2-6, 2-7, 2-10, 2-17 F 10/4
2 Ch.3 plus
pp. 85-93 in Ch.4
^Sun. 10/6 2-19, 2-23, 2-25,
3-2, 3-4, 3-6, 3-11, 3-12
2-18, 2-21, 3-1, 3-10, 3-14 (then just
read 3-15), 3-16 with addition below.
F 10/11
3 Appendix C, rest of Ch.4,
Ch.5 (may omit Abst. S.C.)
^Sun. 10/13
4 Ch. 6 ^Sun. 10/20
5 Ch. 7 ^Sun. 10/27
*In the Preface, at least read the paragraph spanning pp. vi-vii and the section on "Exercises and Problems," pp. x-xi.
**First Reading Report questions: (i) What was most interesting to you in Chapter 1? Or, why are you taking this course, and what are you looking forward to learning in it? (ii) Was there anything in the Appendix reading that wasn't review for you, or about which you have questions? If yes, give details. (iii) What material in Chapter 2 to p. 38 (that is, up to the section on "Manifolds") was new to you? Is there any of it you would like to see discussed in class? (iv) Optional: tell me a bit your mathematical background.
Add to 3-16: Show the space in the problem is homeomorphic to the space defined in class as the Line with Two Origins: Set is the real line R and one other point, call it *, and basis for topology is all open intervals (a,b) in R and all sets of the form (a,0) ∪ {*} ∪ (0,b) where a < 0 < b.

^Second and later Reading Report questions: see Homework guidelines.

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Most recently updated on October 4, 2013.