The Alexander Subbase Theorem: help understanding the definitions and the proof

This video is about the Alexander Subbase Theorem, sometimes called the Alexander Subbase Lemma. It's useful for proving Tychonoff's Theorem, which asserts that an arbitrary product of compact sets is compact, and is equivalent to the Axiom of Choice. This video is mostly self-contained, with refreshers on important definitions like base and subbase of a topology, an open cover of a space, and what a compact topological space is. The majority of this video is dedicated to carefully proving the Alexander Subbase Theorem, filling in details that most textbooks assume the reader will fill-in. I hope you find it helpful, and thanks for watching!

[@ayzikdig1983]

hey
in the effort of your research
how much reading of published research would you estimate you do?
say how many papers, and if you need just parts in said papers?

[@DrMcCrady]

I think I probably read 10-15 papers/textbooks that offered some insight into things I was trying to do.