Recent content by bighadi

Okay, let's start with a definition: A topological space X is locally compact if for each p \in X, there is an open set W such that p \in W and \overline{W}, the closure of W, is compact. So, since we are trying to show that Q is not locally compact, we need to show that there exists p \in X...

Homework Statement Prove that the set of rational numbers with the relative topology as a subset of the real numbers is not locally compact Homework Equations none The Attempt at a Solution I am totally confused and want someone to give me a proof. I have looked at some stuff...