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Month: June 2018

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Algebraic general topology General Topology Open problems

A conjecture proved

By Victor Porton
On June 30, 2018

I have proved the conjecture that $latex S^{\ast}(\mu)\circ S^{\ast}(\mu)=S^{\ast}(\mu)$ for every endoreloid $latex \mu$. The easy proof is currently available in this file.

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Algebraic general topology General Topology Pointfree topology

New theorem about relationships between funcoids and reloids

By Victor Porton
On June 28, 2018

I have proved (the proof is currently available in this file) that $latex ((\mathsf{FCD}), (\mathsf{RLD})_{\mathrm{in}})$ are components of a pointfree funcoid between boolean lattices. See my book for definitions.

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Filters Publications

My math book updated

By Victor Porton
On June 25, 2018

I have updated my math book with new (easy but) general theorem similar to this (but in other notation): Theorem If $latex \mathfrak{Z}$ is an ideal base, then the set of filters on $latex \mathfrak{Z}$ is a join-semilattice and the binary join of…

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Algebraic general topology Filters General Topology Math on the Web Publications

My math book updated

By Victor Porton
On June 19, 2018

I updated my math research book to use “weakly down-aligned” and “weakly up-aligned” instead of “down-aligned” and “up-aligned” (see the book for the definitions) where appropriate to make theorems slightly more general. During this I also corrected an error. (One theorem referred to complement of…

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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