*Ma 151b* - Algebraic topology 2; Winter 2010

### Instructor: Danny Calegari

### Grader: Yi-Chih Chiu (email ycchiu)

### MWF 10:00-11:00 257 Sloan

### Grading policy:

Homework is given out in class on Friday. This homework is due at noon (outside the office) the following Friday. There will be a midterm
(in place of one of the homework assignments) and a final. The exams together will be worth 50% of the grade, and the homework 50%. The only difference
between an exam and a regular homework is that collaboration is not allowed.

### Description of course:

This course continues on from 151a. We will study cohomology and higher homotopy groups, especially Chapters 3-4 from Hatcher.

### Cancellations:

The January 4 class is cancelled.

### Homework (all homework is from Hatcher's book):

- week 1, due Friday 15 January: section 3.1, problems 1, 2, 5, 6
- week 2, due Friday 22 January: section 3.1, problems 9, 11; section 3.2, problems 1, 2, 4, 6
- week 3, due Friday 29 January: section 3.2, problems 3, 8, 9, 11, 15, 18
- week 4, due Friday 5 February: section 3.3, problems 3, 4, 6, 7, 10, 11
- week 5, MIDTERM, due Friday 12 February: section 3.1, problem 8; section 3.2, problem 16; section 3.3, problems 15, 17, 24, 27
- week 6, due Friday 19 February: section 4.1, problems 3, 4, 12, 15, 16, 20
- week 7, due Friday 26 February: section 4.2, problems 4, 6, 7, 16, 22, 25
- week 8, due Friday 5 March: section 4.2, problems 31, 33, 37, 38; section 4.3, problems 1, 5
- week 9, FINAL, due Friday 12 March: section 4.1, problem 11; section 4.2, problems 32, 34, 35; section 4.3, problems 3, 18

### References:

- Hatcher,
*Algebraic Topology*, Cambridge University Press, 2002 (also available from author's webpage)
- Husemoller,
*Fibre Bundles*, Springer-Verlag GTM volume 20 (second edition 1975)
- MacLane,
*Homology*, Springer-Verlag, Classics in Mathematics, 1995