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Month: October 2010

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Algebraic general topology Filters General Topology

A counter-example for a conjecture

By Victor Porton
On October 30, 2010

In a new edition of Funcoids and Reloids article (section “Some counter-examples”) I wrote a counter-example against this conjecture, upholding that there exists a reloid with atomic domain, which is neither injective nor constant. The conjecture is equivalent to this my MathOverflow…

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Algebraic general topology General Topology Open problems Publications

Two new conjectures in “Funcoids and Reloids” article

By Victor Porton
On October 26, 2010

Though my Funcoids and Reloids article was declared as a preprint candidate, I made a substantial addendum to it: Added definitions of injective, surjective, and bijective morphisms. Added a conjecture about expressing composition of reloids through atomic reloids. Added a conjecture characterizing…

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Algebraic general topology General Topology Open problems

Characterization of monovalued reloids with atomic domains

By Victor Porton
On October 26, 2010

Conjecture Every monovalued reloid with atomic domain is either an injective reloid; a restriction of a constant function (or both).

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Algebraic general topology General Topology Open problems

Conjecture: Composition of reloids through atomic reloids

By Victor Porton
On October 26, 2010

The following is a new conjecture: If $latex f$ and $latex g$ are reloids, then $latex g \circ f = \bigcup{}^{\mathsf{RLD}} \{G \circ F | F \in \mathrm{atoms}^{\mathsf{RLD}} f, G \in \mathrm{atoms}^{\mathsf{RLD}} g \}$.

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Algebraic general topology General Topology

Funcoids and Reloids updated

By Victor Porton
On October 2, 2010

I updated Funcoids and Reloids article (recently proposed to be the preprint) correcting small errors.

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Algebraic general topology General Topology Publications

Funcoids and Reloids updated

By Victor Porton
On October 1, 2010

I updated the the online draft of “Funcoids and Reloids” article. This is almost ready preprint (which I will be able to submit after I will have “Filters on Posets and Generalizations” published). The most notable change in this edition is corrected…

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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