Recent content by wtmath

Thanks for your responses - and thanks especially Deveno for taking the time to write out such a detailed explanation. Got me a lot closer to understanding the topic, I think. :)

Homework Statement I'm trying to prove that R with the usual topology is not compact. Homework Equations The Attempt at a Solution According to the solutions, there are two "simple" counterexamples of open coverings that do not contain finite subcoverings: (-n, n) and (n, n+2). Of course...