*Ma 151b* - Algebraic topology 2; Winter 2011

### Instructor: Danny Calegari

### Grader: Steven Frankel (email sfrankel)

### MWF 2:00-3:00 153 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:

None yet.

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

- week 1, due Friday January 14: section 3.1, problems 1, 2, 5, 6
- week 2, due Friday January 21: section 3.1, problems 9, 11; section 3.2, problems 1, 2, 4, 6
- week 3, due Friday January 28: section 3.2, problems 3, 7, 8, 13, 15, 17
- week 4, due Friday February 4: section 3.3, problems 2, 7, 11, 12, 17, 22
- week 5, MIDTERM, due Friday February 11: section 3.1, problems 10, 13; section 3.2, problems 5, 12; section 3.3, problems 8, 32
- week 6, due Friday February 18: section 4.1, problems 4, 8, 9; section 4.2, problems 5, 10, 28
- week 7, due Friday February 25: section 4.2, problems 7, 19, 35; section 4.3, problems 1, 3, 5
- week 8, due Friday March 4: section 4.2, problems 11, 22; section 4.3, problems 6, 11; also these problems
- week 9, FINAL, due Friday March 11: section 4.1, problem 16; section 4.2, problems 3, 8, 31; section 4.3, problems 8, 22; also these problems

### 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