Compactness

In this analysis-packed video, I present the concept of covering compactness. This concept is best understood via some counterexamples. Then, in the second part of the video, I give a nice application of that concept by showing that a continuous function from a compact set to the real numbers. must be uniformly continuous. This is a must-see for analysis and topology lovers! Enjoy!

Видео Compactness канала Dr Peyam