I took 2 semester course on point set topology, also studied it on my own and learned some basic algebraic topology from Hatcher's book. It has been a while since my last topology study. Now, I want to study some further topics in topology. I can still prove some basic theorems like "compactness is preserved under continuous functions". However, I do not remember how to approach more complicated theorems so I need a quick recap. I do not want to dive into a book-since I am not starting it from "0"- therefore I am looking for some lecture notes that can help me to see what is going on and gain some speed while doing proofs. Thank you.