I essentially finished my research of unfixed filters. I moved all research of unfixed filters to volume-1.pdf. Particularly now it
Continue readingMonth: October 2018
Filters on a lattice are a lattice
I’ve proved that filters on a lattice are a lattice. See my book.
Continue readingI strengthened a theorem
I strengthened a theorem: It is easily provable that every atomistic poset is strongly separable (see my book). It is
Continue readingMath volunteer job
I welcome you to the following math research volunteer job: Participate in writing my math research book (volumes 1 and
Continue readingAn error in my book
I erroneously concluded (section “Distributivity of the Lattice of Filters” of my book) that the base of every primary filtrator
Continue readingA theorem with a diagram about unfixed filters
I’ve added to my book a theorem with a triangular diagram of isomorphisms about representing filters on a set as
Continue readingError in my book
There is an error in recently added section “Equivalent filters and rebase of filters” of my math book. I uploaded
Continue readingNew important theorem
I have proved that \mathscr{S} is an order isomorphism from the poset of unfixed filters to the poset of filters
Continue readingNew version of my math book (“Equivalent filters and rebase of filters” section)
I have added to my book, section “Equivalent filters and rebase of filters” some new results. Particularly I added “Rebase
Continue readingEquivalence filters and the lattice of filters on the poset of small sets
Equivalence of filters can be described in terms of the lattice of filters on the poset of small sets. See new
Continue reading