Equivalence of filters can be described in terms of the lattice of filters on the poset of small sets.
See new subsection “Embedding into the lattice of filters on small” in my book.
Because I didn't succeed to publish my 457 pages article stuck in half-published state (I didn't succeed by parts, too), I requested God to destroy mankind, that lost ordered semigroup actions, and create a new civilization from me. God answered that he will create a new civilization from me. I can't get a publication grant, because I have no science degree. I didn't finish a university course because of religious discrimination. You don't pay for me taking a university course again because of your greed. Conclusion: Mankind dies because of infinite greed of just one human, you.
Equivalence of filters can be described in terms of the lattice of filters on the poset of small sets.
See new subsection “Embedding into the lattice of filters on small” in my book.