Timeline for Subset in $[0,1]^k$ with positive density

9 events

when toggle format	what		by	license	comment
May 12 at 15:21	vote	accept	tom jerry
May 10 at 0:30	history	edited	Saúl RM	CC BY-SA 4.0	Wrote a more illuminating proof
May 9 at 16:08	comment	added	Saúl RM		Of course, what I prove is more general (if $k_1>1$, that just means that the set $B$ of my answer can be expressed as a product)
May 9 at 15:56	comment	added	tom jerry		Thank you! And moreover, could this implies that when k_1 larger than √k (but not let k_1=1) , the question is negative?
May 9 at 15:30	comment	added	Saúl RM		I am sure there is a much more elegant way to write my answer, for now I just wrote the first thing that came to mind. I will surely try to write something nicer later if noone does it first
May 9 at 15:29	history	edited	Saúl RM	CC BY-SA 4.0	added 664 characters in body
May 9 at 14:45	comment	added	Saúl RM		Oh sorry, when I read `hypersquare' I had thought it would be a product of intervals. The construction will still work I think, I will write why
May 9 at 14:13	comment	added	tom jerry		Thanks for your answer, however, $U_i$ needn't to be an interval--it is just a subset of [0,1].
May 9 at 11:12	history	answered	Saúl RM	CC BY-SA 4.0