Grading of final exam

The grading of final exam will be submitted soon. We want to clarify two things in the meantime.

1. Problem 8 had two valid answers. Both are accepted.
2. Problem 12 had a typo: "f^-1(A) is proper" should have been "f^-1(A) is compact". We took any possible confusion arising from this in consideration.

The model answers can be found here.