November 2009 – Math Research of Victor Porton

Open problem: co-separability of filter objects

Conjecture Let and are filters on a set . Then [corrected] This conjecture can be equivalently reformulated in terms of

Let is a set. A filter (on ) is a non-empty set of subsets of such that . Note that

(In a past version of this article I erroneously concluded that our main conjecture follows from join-closedness of .) Let