Timeline for Upper shadow of a union-closed family

9 events

when toggle format	what		by	license	comment
Oct 24, 2017 at 12:48	history	edited	karpasi	CC BY-SA 3.0	Generalized question after original question answered in the afirmative.
Aug 7, 2017 at 12:09	comment	added	karpasi		I suspect that if we omit the union-closedness condition, we can get something like $(1-O(1/n))2^n$, or maybe $(1-O(\log{n}/n))2^n$.
Aug 7, 2017 at 12:07	answer	added	karpasi		timeline score: 4
Apr 11, 2017 at 15:32	comment	added	Ilya Bogdanov		A subfamily $\{\varnothing,\{1\},\{2,3\},\{2,4\},\{3,4\}\}$ of $2^{[4]}$ shows that the fact does not hold if we omit the union-closedness assumption.
Mar 14, 2017 at 1:04	history	edited	karpasi	CC BY-SA 3.0	added 156 characters in body
Mar 13, 2017 at 21:32	comment	added	მამუკა ჯიბლაძე		Since you explain what does union-closed mean, I believe it would be natural to also explain what is upper shadow.
Mar 13, 2017 at 18:38	comment	added	Emil Jeřábek		Note that `\cal` does not take an argument; it is an old-style font declaration that remains in effect until the end of the current group. You really want to use `\mathcal`. See e.g. tex.stackexchange.com/a/84043 .
Mar 13, 2017 at 18:31	history	edited	Emil Jeřábek	CC BY-SA 3.0	fix TeX
Mar 13, 2017 at 17:18	history	asked	karpasi	CC BY-SA 3.0