Math 782, Algebraic topology
Spring 2008


Lectures: MW 2:30-3:45, LGRT 1322.


Instructor: Mike Sullivan     Office: LGRT 1544      Phone: 545-1909     email: my last name <at> math <at> umass <at> edu


Office hours: Monday 3:45-5:25 on weeks when HW is due. Or by appointment on Monday before noon or Wednesday before 11:30 any week.


Text
Required: Algebraic Topology , by Allen Hatcher. It costs about $22-$35 on Amazon.com, for example. This text can also be legally downloaded for free at Hatcher's website.
Recommended: Geometry and Topology , by Glen Bredon. It costs about $37-$75 at Amazon.com, for example. The text is also on reserve at the library.


Description: This course will be centered on Chapters 1 (fundamental group), 2 (homology) and 3 (cohomology) of the Hatcher text. Ideally, if time permits, there will be some topics/examples on differential topology coming from the Bredon text. The grade will be based on the timely completion of several homeworks. Prerequisites are Math 671 which is point set topology, and a few definitions from algebra like groups, rings, and homomorphisms.


Announcements:

05/05: HW 5 due date has been pushed back two days to Friday May 16, 2pm.
03/24: We will not meet on Monday May 11. Instead there will be a make-up class on Monday Arpil 7, 3:50-5:05 (immediately following the regular class).
02/25: By popular demand, HW 2 is now due on Monday 3/3
02/11: By popular demand, HW 1 is now due on Tuesday 2/19 (which is a ``Monday").
02/05: I just realized I have a job talk to attend at 4-5pm on Monday 02/11, so those office hours will be rescheduled to 10:45-11:45am and 5:00-5:25pm, same day.
01/30: Check out the links to covering spaces of S^1 and the fundamental group of T^2. (Thanks Aaron)


Homework