Recent content by giantsfan000

Thank you so much for your help office shredder. I really do hate to ask a follow up again because I know you don't want to do too much of the problem for me, but I just feel so stupid when I try to do this problem. So I've got my statement set up that I want to contradict, but how exactly do...

I appreciated your prompt response to my question about topology. Thank you very much for that! Proof by contradiction does make sense. I hope you don't mind me asking a follow up question. Would the contradiction be that there is not an delta > 0 st d(a,b) > delta or there exists a delta > 0 st...

Homework Statement Suppose A and B are disjoint closed sets in the metric space X and assume in addition that A is compact. Prove there exists ∆ > 0 such that for all a ∈ A, b ∈ B, d(a, b) ≥ ∆ 2. The attempt at a solution I really don't have an attempt at a solution because I am 100%...