October, 2018 | Math Research of Victor Porton

“Unfixed filters” research now in the book volume-1

I essentially finished my research of unfixed filters. I moved all research of unfixed filters to volume-1.pdf. Particularly now it

I’ve proved that filters on a lattice are a lattice. See my book.

I strengthened a theorem: It is easily provable that every atomistic poset is strongly separable (see my book). It is

I welcome you to the following math research volunteer job: Participate in writing my math research book (volumes 1 and

I erroneously concluded (section “Distributivity of the Lattice of Filters” of my book) that the base of every primary filtrator

I’ve added to my book a theorem with a triangular diagram of isomorphisms about representing filters on a set as

There is an error in recently added section “Equivalent filters and rebase of filters” of my math book. I uploaded

I have proved that \mathscr{S} is an order isomorphism from the poset of unfixed filters to the poset of filters

I have added to my book, section “Equivalent filters and rebase of filters” some new results. Particularly I added “Rebase

Equivalence of filters can be described in terms of the lattice of filters on the poset of small sets. See new