Problem Sheet J

Published 4 years ago 1 min read

This sheet is based on Lectures 19 and 20.

Problem 1 show that strong deformation retractions really are stronger than normal deformation retractions.
Problem 2 is just easy.
Problems 3 and 4 introduce the Euler characteristic.
Problem 5 asks you to come up^[1] with an explicit isomorphism $ H_n(X) \cong H_n(X, \mathcal{F})$.
Problem 6 gives a categorical interpretation of cell-like filtrations.

As usual, feel free to ask questions if you are stuck! 😀

Actually I thought this was a bit hard, so I pretty much just told you the answer. But you still need to verify what I claim works. ↩︎