Timeline for A question about connectedness in Euclidean space [closed]

9 events

when toggle format	what		by	license	comment
Nov 8, 2011 at 5:19	vote	accept	Kwong
Nov 7, 2011 at 11:27	comment	added	Kwong		I am sorry to have omitted the condition $U\supset K$, this makes the question looks rather stupid. But I must say that this is not a homework question, this is a claim (without proof) in a proof of a paper I am reading. I don't think it is completely trivial, as this is false if we replace Rn with some other connected spaces, such as the torus. Therefore somehow we must use the property of $\mathbb{R}^n$ (e.g. Jordan's theorem), but I have no idea how to. Perhaps it's also interesting to see if we can replace $\mathbb{R}^n$ with other spaces, e.g. spheres.
Nov 7, 2011 at 9:45	history	closed	Denis Serre Ryan Budney Will Jagy Matthew Daws Joel David Hamkins		too localized
Nov 7, 2011 at 8:17	answer	added	Pierre		timeline score: 3
Nov 7, 2011 at 7:28	history	edited	Kwong	CC BY-SA 3.0	added 23 characters in body
Nov 7, 2011 at 7:11	comment	added	Tom Smith		No. (Do you want a specific counterexample? This feels a bit like a homework question...)
Nov 7, 2011 at 7:07	answer	added	user5810		timeline score: 0
Nov 7, 2011 at 7:07	comment	added	Denis Serre		of course not !
Nov 7, 2011 at 6:53	history	asked	Kwong	CC BY-SA 3.0