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Month: February 2012

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A proposal for arXiv – managing patches

By Victor Porton
On February 29, 2012

A famous mathematician Gowers wrote that it is needed “a positive strategy of actually setting up a new system might work rather better” for publishing math articles. In this post I suggest a way for the community to improve quality of self-published…

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#arXiv
Algebraic general topology General Topology Pointfree topology

On product of an arbitrary family of funcoids

By Victor Porton
On February 24, 2012

I previously defined product of two funcoids. Now the description of product of two funcoids is integrated into my article about multifuncoids. In this article I now also define product of an arbitrary (possibly infinite) family of multifuncoids. The article is yet…

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#product funcoid#product of funcoids
Filters Open problems

Polymath problem: Difference of two filters

By Victor Porton
On February 21, 2012

My open problem first published in this my blog post (about pair-wise equality of four different expressions for differences of two filters) may be considered to be the next polymath problem. Well, I realize that this may problem may be not ideal…

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#polymath proposals
Algebraic general topology General Topology Open problems Pointfree topology

A draft about multifuncoids

By Victor Porton
On February 12, 2012

I put online a rough preliminary draft about multifuncoids, a generalization of funcoids. It contains a few definitions, and theorems. Probably the most interesting thing in it is what I call graph-composition of multifuncoids. The draft contains several open problems.

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#multifuncoids
Algebraic general topology General Topology Open problems

“Upgrading a Multifuncoid” article upgraded

By Victor Porton
On February 4, 2012

Now my article Upgrading a Multifuncoid is updated. The main change is that it now contains the conjecture “Upgrading a completary multifuncoid is a completary multifuncoid” (see the article for an exact formulation).

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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