Topology IV.b - homotopy theory

Homework/Semi-flipped teaching. I would like you to read pages 12-13 in the lecture notes (Section 3: possible improvements) or alternatively watch the end of the third video

https://mediaspace.epfl.ch/media/Exponential+Law+Lecture+02.1/0_5whebok8/29340

It concerns categorical considerations I will not really go into that allow us to solve the problem that the exponential law as presented only holds in a too restricted setup. We can discuss further at the beginning of the lecture on Tuesday 25 February, and then move to pointed mapping spaces.