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Math Research of Victor Porton

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Month: May 2011

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Algebraic general topology Filters General Topology

A new theorem about funcoids and generalizated filter bases

By Victor Porton
On May 26, 2011

I proved the following theorem: Theorem If $latex S$ is a generalized filter base then $latex \left\langle f \right\rangle \bigcap{\nobreak}^{\mathfrak{F}} S = \bigcap {\nobreak}^{\mathfrak{F}} \left\langle\left\langle f \right\rangle \right\rangle S$ for every funcoid $latex f$. The proof (presented in updated version of this…

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Algebraic general topology Filters General Topology Open problems

A surprisingly hard problem

By Victor Porton
On May 26, 2011

I am now trying to prove or disprove this innocently looking but somehow surprisingly hard conjecture: Conjecture If $latex S$ is a generalized filter base then $latex \left\langle f \right\rangle \bigcap{\nobreak}^{\mathfrak{F}} S = \bigcap {\nobreak}^{\mathfrak{F}} \left\langle\left\langle f \right\rangle \right\rangle S$ for every…

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Algebraic general topology Filters General Topology

Orderings of filters in terms of reloids – in terms of category theory

By Victor Porton
On May 20, 2011

My draft article “Orderings of filters in terms of reloids. Extensions of Rudin-Keisler ordering” is updated. Read here. Now it uses the language of basic category theory. It is yet not carefully checked for errors.

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#Rudin-Keisler equivalence#Rudin-Keisler order#Rudin-Keisler ordering#Rudin-Keisler preorder
Uncategorized

My motivation to do math research

By Victor Porton
On May 3, 2011

In the past I considered my purpose to exactly and directly follow commandments of Bible. I had some purposes hardly set as the aim of my life. My life was driven by these purposes not by my wish or my heart. I…

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#motivation#self-motivation
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  • 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