General information
This is the second half of a full-year course introducing both algebraic topology and manifold theory. The main topics are smooth manifolds and differential topology.
Course news
Problems for next week have just been posted.
One of the tangent vectors in problem 6 was incorrect. Sorry.
Homework 6 is now available.
Homework 5 is now available.
It's just been pointed out that problem 4 had a mistake in it (the values at adjacent integers have to be distinct). A corrected version is now posted. Sorry.
The much-anticipated Homework 4 has arrived.
Homework 3 is posted. (Yes, you should assume that the cover is second countable. But that's not the point.)
Problem 2 has a corrected version posted. Sorry.
Homework 2 is posted.
Hey, where is homework 2? It is not here yet. Yes, the due date will be pushed back. Sorry about this.
Homework 1 is now corrected.
Due to confusion (on my part) about the fact that the course textbook is 2013's second edition, the homework exercises are inappropriate. Homework will be corrected shortly.
Homework 1 is posted on the homework page. Homework is taken from Lee's text; note that it includes both mid-text and at the end of the chapter.
(Taking homework from the text will occur only to the extent that the text provides problems that are compatible with the course.)
Students should note that this course page is still under construction.