# MT A532 Course Schedule and Homework

## WEEK 1: 1/18 - 1/20

Munkres, sections 54, 55: Fundamental group of the circle; Retractions and fixed pointsHomework:

p. 347 #3, #4, #5

p. 353 #1, #2, #3, #4

## WEEK 2: 1/23 - 1/27

**Last day to drop without a "W": Friday, January 27th**

Munkres, sections 56, 57: Applications (fund. theorem of alg., Borsuk-Ulam)

Homework:

p. 356, #1, #2

p. 359 #1, #2, #3, #4

## WEEK 3: 1/30 - 2/3

Munkres, section 58: Deformation retracts and homotopy typeThis also makes a nice transition to Chapter 0 of Hatcher's book which starts with a discussion of homotopy type. This is where we'll start.

Homework:

Munkres p. 366 #1, #2, #5, #6, #9, #10

## WEEK 4: 2/6 - 2/10

Munkres, section 22: Quotient topologyHatcher, chapter 0, pp. 1-14

Homework:

Munkres p. 144 #2, #3, #4

Hatcher p. 18 #2, #3, #4, #9, #10, #11

## WEEK 5: 2/13 - 2/17

Homework: continue work on previous set## WEEK 6: 2/20 - 2/24

Hatcher, chapter 0, pp. 14-17Homework: In-class exercises on understanding the Hopf fibration, cell structure of the projective spaces

## WEEK 7: 2/27 - 3/3

Homework: p.19 #17, #18, #23, #26## WEEK 8: 3/6 - 3/10

**The midterm exam is Monday, March 6th**

## WEEK 9: 3/20 - 3/24

**Withdrawal deadline is Friday, March 24th**

## WEEK 10: 3/27 - 3/31

Homework: p.39 #14, #16, #17p.52 #1, #3, #8, #9

p.79 #9, #10, #12, #13

## WEEK 11: 4/3 - 4/7

## WEEK 12: 4/10 - 4/14

**No class Friday, April 14th (Good Friday)**

## WEEK 13: 4/17 - 4/21

## WEEK 14: 4/24 - 4/28

## WEEK 15: 5/1 - 5/5

**Friday, May 5th is the last day of class**

**The final is Wednesday, May 10th, 2:00-3:50PM**