Skip to content

Math Research of Victor Porton

  • SCIENCE
    • Journal with post-moderation
    • World Science DAO
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Discontinuous Analysis
    • Full Course
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize

Month: January 2018

  • Home
  • 2018
  • January
Filters Open problems

Theory of filters is FINISHED!

By Victor Porton
On January 5, 2018

I have almost finished developing theory of filters on posets (not including cardinality issues, maps between filters, and maybe specifics of ultrafilters). Yeah, it is finished! I have completely developed a field of math. Well, there remains yet some informal problems, see…

read more
Filters

A conjecture about filters proved

By Victor Porton
On January 5, 2018

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

read more
Filters Open problems

A new conjecture about filters

By Victor Porton
On January 3, 2018

Let $latex \mathfrak{F}(S)$ denotes the set of filters on a poset $latex S$, ordered reversely to set theoretic inclusion of filters. Let $latex Da$ for a lattice element $latex a$ denote its sublattice $latex \{ x \mid x \leq a \}$. Let…

read more
Filters

Very easy solution of my old conjecture

By Victor Porton
On January 2, 2018

Like a complete idiot, this took me a few years to disprove my conjecture, despite the proof is quite trivial. Here is the complete solution: Example $latex [S]\ne\{\bigsqcup^{\mathfrak{A}}X \mid X\in\mathscr{P} S\}$, where $latex [S]$ is the complete lattice generated by a strong partition $latex…

read more
Top

Copyright © 2023 Math Research of Victor Porton - WordPress Theme : By Sparkle Themes

  • SCIENCE
  • Home
  • Algebraic General Topology
  • Axiomatic Theory of Formulas
  • Discontinuous Analysis
  • More
  • Prize
  • SCIENCE
    • Journal with post-moderation
    • World Science DAO
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Discontinuous Analysis
    • Full Course
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize