Skip to content

    Math Research of Victor Porton

    Because I didn't succeed to publish my 457 pages article stuck in half-published state (I didn't succeed by parts, too), I plead with God to destroy mankind, that lost ordered semigroup actions, and create a new civilization from me. I can't get a publication grant, because I have no scientific 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.

    • 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

    Author: Victor Porton

    • Home
    • Victor Porton
    • Page 53
    Open problems

    Proposal: Partitioning a lattice element

    By Victor Porton
    On October 17, 2009

    I’ve given two different definitions for partitioning an element of a complete lattice (generalizing partitioning of a set). I called them weak partitioning and strong partitioning. The problem is whether these two definitions are equivalent for all complete lattices, or if are…

    read more
    Open problems

    Partitioning of a lattice element: a conjecture

    By Victor Porton
    On October 17, 2009

    Let $latex \mathfrak{A}$ is a complete lattice. Let $latex a\in\mathfrak{A}$. I will call weak partitioning of $latex a$ a set $latex S\in\mathscr{P}\mathfrak{A}\setminus\{0\}$ such that $latex \bigcup{}^{\mathfrak{A}}S = a \text{ and } \forall x\in S: x\cap^{\mathfrak{A}}\bigcup{}^{\mathfrak{A}}(S\setminus\{x\}) = 0$. I will call strong partitioning…

    read more
    #lattice theory
    Uncategorized

    Formalistics of generalization

    By Victor Porton
    On September 11, 2009

    In the framework of ZF formally considered generalizations, such as whole numbers generalizing natural number, rational numbers generalizing whole numbers, real numbers generalizing rational numbers, complex numbers generalizing real numbers, etc. The formal consideration of this may be especially useful for computer…

    read more
    #computer proof#logic#logics#math logic#numbers#proof assistants#set theory
    Filters Open problems

    Proposal: Conjecture about complementive filters

    By Victor Porton
    On August 30, 2009

    Earlier I proposed finishing writing this manuscript as a polymath project. But the manuscript contains (among other) this conjecture which can be reasonably separated into an its own detached polymath project.

    read more
    Filters

    Proposal: Filters on Posets and Generalizations

    By Victor Porton
    On August 29, 2009

    I propose to collaboratively finish writing my manuscript “Filters on Posets and Generalizations” which should become the exhaustive reference text about filters on posets, filters on lattices, and generalizations thereof. I have setup this wiki for this purpose.

    read more
    #collaborative mathematics#online research#polymath proposals#research collaboration
    Filters

    Filters on Posets at Google Knol

    By Victor Porton
    On August 26, 2009

    I removed this Knol. The development of “Filters on Posets and Generalizations” happens on wikidot.com instead. I decided to put my draft article “Filters on Posets and Generalizations” at Google Knol to be edited collaboratively by the Internet math community. The current…

    read more
    #collaborative mathematics#online research#research collaboration
    Filters Open problems

    Do filters complementive to a given filter form a complete lattice?

    By Victor Porton
    On July 31, 2009

    Let $latex U$ is a set. A filter (on $latex U$) $latex \mathcal{F}$ is by definition a non-empty set of subsets of $latex U$ such that $latex A,B\in\mathcal{F} \Leftrightarrow A\cap B\in\mathcal{F}$. Note that unlike some other authors I do not require $latex…

    read more
    Filters Open problems

    Isomorphic filters – open problems

    By Victor Porton
    On June 10, 2009

    For filters on sets defined equivalence relation being isomorphic. Posed some open problems like this: are every two nontrivial ultrafilters isomorphic?

    read more
    #ultrafilters
    Algebraic general topology General Topology

    Funcoids and Reloids – examples of funcoids added

    By Victor Porton
    On May 19, 2009

    A mathematician has said me that he cannot understand my writings because I introduce new terms without examples before. Because of this I added to my article Funcoids and Reloids (PDF) new subsection Informal introduction into funcoids. Hopefully now it is understandable….

    read more
    #examples first#math article#math writing#mathematical writing#writing style
    Uncategorized

    My new math blog

    By Victor Porton
    On May 19, 2009

    I abandoned my old blogs at my own site and moved to WordPress.com. This is my new math blog. Here I will tell about my math research.

    read more

    Posts navigation

    Prev 1 … 52 53
    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