Sample problem set

As a sample of the approximate format of the examination problem set, you may look at the one from 2016.

/studier/emner/matnat/math/MAT4500/oppgaver/MAT3500-4500_2016.pdf

For Problem 4, assume that Y is T_1, i.e., has closed points.  (I suspect that this was intended, but am not sure that it is necessary.)

For Problem 5 you will need to know that the n-sphere S^n is simply-connected for n>1, which we have not proved this year.