January, 2018 | Math Research of Victor Porton

I have almost finished developing theory of filters on posets (not including cardinality issues, maps between filters, and maybe specifics

A conjecture about filters proved

I have proved this recently formulated conjecture. See my book. Currently it is theorem number 598.

Let denotes the set of filters on a poset , ordered reversely to set theoretic inclusion of filters. Let for

Like a complete idiot, this took me a few years to disprove my conjecture, despite the proof is quite trivial.