Week 42

This week I have discussed classification of compact, connected surfaces.  I got as far as to show that they all can be obtained as connected sums of tori and projective planes, but it remains to study how (non-)unique this decomposition is.  We will finish this next time, and then go on to put more structure on surfaces.

Important message: The mandatory assignment has now been posted - see link on  the right side of the home page. A link to further information and instructions is also to be found there. The deadline is Thursday October 30, at 2:30 PM.

Problems for Tuesday 21:  3.1: 1, 2, 3