Exercises
All exercises refer to Munkres’ Topology (2nd edition) unless otherwise noted.
Assignment 1
Due: Wednesday, January 21
- p.15 5, 9
- p.20, 1
- p. 39, 4
- p. 51, 1
- p. 83, 1,7
Assignment 2
Due: Friday, January 30
Neighborhood of a Quiz
Assignment 3
Due: Friday, February 13
Ch. 2 \(\S\) 17, p. 100
- 2, 4, 6, 13, 19, 20
Midterm
Assignment 4
Due: Monday, March 30
- p. 152, 4, 5, 6, 7, 9, 11
- p. 158, 2, 3 (hint: \(f(x) - x\) is continuous, so use the intermediate value theorem), 11
Assignment 5
Due: Wednesday, April 8
- In Desmos, produce & showcase both a linear & non-linear homotopy between two continuous functions.
Assignment 6
Due: Wednesday, April 15
- p. 171, 5,6
- p. 178, 6 (just read it, and think about it & marvel, no need to write anything down)
- p. 272, Theorem 44.1 (just read it, and think about it & marvel, no need to write anything down)
- p. 330 (section 51), 3
- p. 335 (section 52), 4
- p. 347/348 (section 54), 3,4,5
- p. 353 (section 55), 2