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: November 2010

  • Home
  • 2010
  • November
Filters Publications

Filters on Posets and Generalizations updated

By Victor Porton
On November 25, 2010

I uploaded updated version of Filters on Posets and Generalizations article and sent it to Armenian Journal of Mathematics for peer review. The main change in this version is a counter-example to the conjecture, that every weak partition of a filter object…

read more
#partition
Filters Open problems

Question: Complete classification of ultrafilters?

By Victor Porton
On November 19, 2010

Are there a known complete classification of filters (or at least ultrafilters)? By complete classification I mean a characterization of every filter by a family of cardinal numbers such that two filters are isomorphic if and only if they have the same…

read more
Filters Publications

“Filters on Posets and Generalizations” updated

By Victor Porton
On November 13, 2010

I updated my online draft of the “Filters on Posets and Generalizations” article, while a former version of it was submitted as a preprint into Armenian Journal of Mathematics. The main new feature of my online draft is the section “Complementive filter…

read more
Algebraic general topology General Topology

Distributivity of composition over join of reloids

By Victor Porton
On November 4, 2010

In the last version of Reloids and Funcoids online article I proved true the following conjecture: Theorem If $latex f$, $latex g$, $latex h$ are reloids then $latex f\circ (g\cup^{\mathsf{RLD}} h) = f\circ g \cup^{\mathsf{RLD}} f\circ h$; $latex (g\cup^{\mathsf{RLD}} h) \circ f…

read more
#composition of reloids#distributive law#distributivity#join of reloids
Algebraic general topology Filters General Topology

Every monovalued reloid is a restricted function

By Victor Porton
On November 1, 2010

The conjecture “Every monovalued reloid is a restricted function” is proved true as a corollary of this theorem in the last revision of Funcoids and Reloids online article.

read more
#monovalued reloid
Algebraic general topology Filters General Topology

A monovalued reloid with atomic domain is atomic

By Victor Porton
On November 1, 2010

In the last revision of Funcoids and Reloids online article I proved that every monovalued reloid with atomic domain is atomic. Consequently two following conjectures are proved true: Conjecture A monovalued reloid restricted to an atomic filter object is atomic or empty….

read more
#atomic reloid#monovalued reloid
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