NOTE: Around 08:58 when we discuss the closure of a set, I must clarify that the closure of A being a closed set is not as trivial as I made it sound. Certainly the closure of A contains the limit points of A, but when unioning A with L, it is possible we introduced NEW limit points of the set L, and thus to show the closure of A is closed, we'd need to consider this possibility. As it turns out, new limit points will not be introduced in this process, so closures are indeed closed, but again - it's not as trivial as I made it sound.
Bit late on this (I am just starting Uni), but these are amazing and so much better than lectures. You are doing God's work my friend. Keep pumping more high level math videos. I will watch all of them.
