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Month: May 2012

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Algebraic general topology General Topology Open problems Pointfree topology

A difficulty on the way of my research

By Victor Porton
On May 31, 2012

The following conjecture seems trivial but I have a hard hour trying to prove it. I suspect I have a big difficulty on the course of my research. Conjecture $latex \prod^{\mathsf{FCD}} a \not\asymp\prod^{\mathsf{FCD}} b \Leftrightarrow \forall i\in n : a_i \not\asymp b_i$…

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Algebraic general topology General Topology Open problems Pointfree topology

Candidate formulas for product of reloids

By Victor Porton
On May 23, 2012

First, we can define product of reloids as a trivial generalization of the alternative definition of product of uniform spaces. There are no trivial simplification of this relatively inelegant definition, it is not algebraic as I would want. I (without any evidence…

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Algebraic general topology General Topology

The end of Algebraic General Topology?

By Victor Porton
On May 23, 2012

It was my long time dream since the first course of the university to do math analysis in algebraic fashion instead of the notorious epsilon-delta notation overloaded with quantifiers. This dream has been accomplished. I discovered a new math theory in which…

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#direct product#product of uniform spaces#uniform space#uniform spaces
Algebraic general topology General Topology Open problems

“Upgrading multifuncoid” conjecture proved

By Victor Porton
On May 1, 2012

I have proved the conjecture “Upgrading a multifuncoid is multifuncoid”. The proof is currently presented in this online draft article.

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#multifuncoids
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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