Recent content by homesick

Yes, I know the hint clearly stated that this could cause issues. I said that above. I asked *why* this hint is there. The fact that I believe my proof is complete, means that I do not understand the hint. I don't understand at all what you mean by trying to construct a countable dense set that...

Homework Statement Show that if X\subsetM and (M,d) is separable, then (X,d) is separable. [This may be a little bit trickier than it looks - E may be a countable dense subset of M with X \cap E = Ø.] Homework Equations No equations, but there are relevant definitions. Per our book: A metric...