Thursday May 30 I have to go away, so today (Tuesday) was the last regular lecture this term. The exact syllabus is defined as the material I have been able to cover, and this is listed under "Syllabus, achievement requirements".
We agreed to meet next Thursday, June 6 at the regular time, and I will be available for questions, maybe some recapitulation and problem solving. Hatcher's book has lots of good exercises, ranging from easy to challenging, and I urge you to use them to check that you understand the theory. In addition to the lists of recommended exercises I have given earlier, here are some more:
The exam in MAT4530 will be on Monday June 10, and the last lecture will be Thursday May 30.
I have now started Chepter 3 - Cohomology - and today I finished section 3.1, containing the basic definitions and the part of the theory that is analogous to homology. The main new structure in cohomology is the cup product (section 3.2), and I will start discussing that on Thursday May 16.
The problem set for the mandatory assignment has now been posted, and you find it here. You have two weeks, but it is a good idea to start already now. Please do not hesitate to ask if there is something you don't understand in the text.