General information

This is the first half of a full-year course introducing both algebraic topology and manifold theory. The main topics include compact surfaces, the fundamental group, and basic homology and cohomology.

Course news

Dec 3, 2012 | Homework 11 correction

Homework 11 has a correction to problem 3; the subspace A should be contained inside the intersection of the two open sets.

November 28, 2012 | Homework 11

Homework 11.

November 19, 2012 | Homework 10

Homework 10 is posted.

November 9, 2012 | Homework 9

In homework 9, you'll compute some homology groups.

November 4, 2012 | Homework 8 correction

A deck transformation should be defined as a homeomorphism, rather than as a general map. Sorry about that.

November 2, 2012 | Homework 8 posted

Due November 9.

October 25, 2012 | Homework 7 correction

Oops. Problem 1 on homework 7 turned out to be false. A corrected version is now posted.

October 22, 2012 | Homework 7 posted

Due to my delay posting the homework, this is due on Monday, Oct 29.

October 11, 2012 | Homework 6 posted

Due on Friday, October 19.

October 5, 2012 | Homework 5 posted

Homework 5! Due on Friday, October 12.

September 28, 2012 | Homework 4 posted

As warned, homework 4 is posted and due on Friday, October 5.

September 24, 2012 | Homework 3 posted

Homework 3 is posted. (Actually, I posted it last night, and forgot to update this.) Sorry for the delay.

September 13, 2012 | Homework 2 posted

Homework 2 is posted, and due on Friday, September 21.

September 10, 2012 | Homework 1 posted

Homework 1 is posted, and due this Friday. NOTE There was an issue with Problem 3 (a spurious copy of z), which has now been corrected.

September 6, 2012 | Moodle poll

There is a anonymous poll to help me get a clear idea of student background now available on Moodle. Please take a second to fill it out.

September 6, 2012 | Course texts

I've fixed the page on course textbooks. I got confused about the difference between John M. Lee's textbook on topological manifolds (the text for this course) and his text on smooth manifolds (which is possibly the text for next semester).

August 31, 2012 | In progress

Students should note that this course page is still under construction.