Skip to content

Math Research of Victor Porton

  • SCIENCE
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Limit of a Discontinuous Function
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize

Month: January 2011

  • Home
  • 2011
  • January
Filters General Topology Open problems

Questions about orderings of filters and ultrafilters

By Victor Porton
On January 24, 2011

I asked on MathOverflow several questions about ordering of filters and ultrafilters. Your participation in this research is welcome.

read more
#order#partial order#poset#preorder#ultrafilter
Uncategorized

“Filters on Posets and Generalizations” – updated

By Victor Porton
On January 15, 2011

Filters on Posets and Generalizations online article updated as an accomplishment of this plan. This is important primarily to extend the category of pointfree funcoids with objects being arbitrary posets (even without least element). That way this category would become more “complete”….

read more
Filters

Intersecting elements of posets without least element

By Victor Porton
On January 14, 2011

From the preprint of my article “Filters on Posets and Generalizations” (with little rewording): Definition 1. Let $latex \mathfrak{A}$ is a poset with least element $latex 0$. I will call elements $latex a$, $latex b$ in $latex \mathfrak{A}$ intersecting when exists c…

read more
#partial order#partially ordered set#poset#posets
Algebraic general topology General Topology

Funcoids are more important than topological spaces

By Victor Porton
On January 1, 2011

I think funcoids are more important for mathematics than topological spaces. Why I think so? Because funcoids have “smoother” (more beautiful) properties than topological spaces. Funcoids were discovered by me. Does the author mean that his discovery of funcoids was more important…

read more
#topological spaces#topology
Top

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

  • SCIENCE
  • Home
  • Algebraic General Topology
  • Axiomatic Theory of Formulas
  • Limit of a Discontinuous Function
  • More
  • Prize
  • SCIENCE
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Limit of a Discontinuous Function
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize