# Problem Sheet F

This sheet is based on Lectures 11 and 12.

- Problems 1 and 2 ask you to do some diagram chasing.
*Such fun! π* - Problem 3 is another diagram chase. This one is quite hard, but there are pretty colours so that's ok.
- Problems 4 asks you prove the long exact sequence for a triple of spaces (
*Hint***:**Use Problem 3!) - Problem 5 asks you to prove the long exact sequence in reduced homology. (This one is much easier.)
- Problem 5 is about when short exact sequences split.

This is a pretty difficult sheet. π

π€ Feel free to ask a question if you are stuck! π€

Comments and questions?