For "homework" read chapters 1 and 2 of Topology: A Categorical Approach and attempt the following:
We'll start to follow along with the Albin lectures (found here). For the 10th, aim for listening to the first two lectures + whatever supplemental reading you think might be relevant / helpful from Hatcher (link).
Instead of assigning problems, look at Albin's homework #1 (link) and choose one you think might be tractable to work on. As usual we can discuss on slack or via ad-hoc meetings in the upcoming weeks.
Cheng hasn't assigned any homework.
In preperation for Dr. Jean-Eric Pin's lecture on the Generalized Star Height Problem, we will discuss the following concepts: