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Month: June 2016

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Algebraic general topology General Topology Math on the Web

Normal quasi-uniformity elegantly defined

By Victor Porton
On June 24, 2016

Error in the proof of below theorem!! http://www.mathematics21.org/binaries/addons.pdf My earlier attempt to describe normal reloids (where the normality is taken from “Each regular paratopological group is completely regular” article, not from the customary normality of the induced topological space) failed. After a…

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Algebraic general topology Filters General Topology Math on the Web Open problems

About “Each regular paratopological group is completely regular” article

By Victor Porton
On June 23, 2016

In this blog post I consider my attempt to rewrite the article “Each regular paratopological group is completely regular” by Taras Banakh, Alex Ravsky in a more abstract way using my theory of reloids and funcoids. The following is a general comment…

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Algebraic general topology General Topology

Interior funcoid definition

By Victor Porton
On June 23, 2016

Having a funcoid $latex f$ I defined what I call interior funcoid $latex f^\circ$. See this PDF file for a few equivalent definitions. Interior funcoid is a generalization of interior operator for a topological space. Interior funcoid is kinda dual funcoid. Note…

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Algebraic general topology General Topology Pointfree topology

A new easy theorem about pointfree funcoids

By Victor Porton
On June 15, 2016

I have added the following easy to prove theorem to my general topology research book: Theorem If $latex \mathfrak{A}$ and $latex \mathfrak{B}$ are bounded posets, then $latex \mathsf{pFCD}(\mathfrak{A}; \mathfrak{B})$ is bounded.

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  • 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