### MATH 450.01. Homework Assignments.

NO LATE HOMEWORK ACCEPTED FOR GRADING IN ANY CASE.
LN = "Lecture Notes", PT = "Principles of Topology", EC = "extra credit"

 HW # date due date assignment 1 9/1 9/8 LN, # 2.3, 2.10, 2.11, 2.13, 2.17, 2.19 Corrected: 2.10, 2.13, 2.17 EC 9/1 9/8 # 1.10 in "Preliminaries" Hint: f(t) = t*ln(t) is convex. 2 9/8 9/15 LN, # 2.20, 2.25, 2.29, 2.37, 2.38 Corrected: 2.20c), 2.29, 2.39 3 9/15 9/22 LN, # 2.40, 2.42, 2.43, 2.46, 2.47 Corrected: 2.40, 2.42, 2.46 EC 9/20 9/29 Give an example of a metric space and an open ball in it which is a closed set but not a closed ball. 4 9/22 9/29 PT, p.68 # 5, p.69 # 12, p.77 # 4, p.86 # 7, p.96 # 15 Corrected: 5, 12, 15 5 10/6 10/13 PT, p.108, # 1, 3, 7. Corrected: 1a)b), 3b), 7 a) => b) 6 10/13 10/20 p.108, # 4, 6; p.114, # 4, 6, 7a) Corrected: p.114, # 4, 6 7a) EC 10/18 10/25 Items (a) - (d) on page 118. EC 10/20 10/27 p.127, # 8 7 10/20 10/27 p.127, # 2, 4, 10, 12, 14b) Corrected: p.127, # 10, 12, 14b). 8 10/27 11/3 pp.140-142, # 1, 6, 8, 14, 15 Corrected: p.140, # 6, 8. 14. 9 11/10 11/29 p.166, # 3, 4; pp.171-172, # 2, 3, 4. 10 12/1 12/13 pp.203-204, # 3, 8a)-c), 11; p.210, # 2, 6, 10

Schedule for the final week: