Math 430 Homework

Due Jan 13: Review Chapter 1 Sections 1-8

Due Jan 20: Ch 13 #6,8; Ch 16 #1,3; Ch 17 #3,13,17,*21;
Find an example of a T1 space and a squence that has two different limits.

Due Jan 27: Ch 18 #3,9 (contrast to Thm 18.2(f))
Ch 20 1a; Ch 22 3,4,6a;
Topological Groups 2ab (read cde), 4, 5ad 7ab

Due Feb 3 Ch 23 7,11
Ch 24 1a, 8 a OR b
Ch 25 5,9
Ch 26 4,7
Ch 27 3 a OR b OR c
Ch 29 10

Due Feb 15 (MONDAY) (but will be on the midterm on Feb 8)
Ch 19 3
Ch 30 3, 12
Ch 31 7bd, 8 (read it)
Handout 28,31,32


Due Feb 24: Ch 51 3
Ch 52 4,7*(bonus)
Ch 53 3
Ch 54 3,8
One extra problem

Due March. 3: Ch 57 2, Ch 58 9, and more...

Due March 24:
MUNKRES: Ch 59 4, Ch 60 4,5
HATCHER: Chapter 0 pg 19 14,17
EXTRA: 1) Compute the fundamental group of R^3 - S^1.
2) Using the list of homotopy groups of spheres (page 339 of Hatcher) show that R^n is not homeomorphic to R^m unless n=m.

Due April 1: Ch 68 2, Ch 69 1, Ch 70 3, 71 3 Hatcher pg 53 4, 11 (read 22 if you are into knots)
Due April 14 Ch 74 1,3,5 Ch 75 3
Due April 21 Ch 77 4, Ch 78 2 (read 3,4 and esp. 5) Ch 79 4, Ch 81 2,5.