Skip to content

Math Research of Victor Porton

  • 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

Month: October 2013

  • Home
  • 2013
  • October
Algebraic general topology General Topology

Some new simple theorems about funcoids and reloids

By Victor Porton
On October 31, 2013

I’ve proved the following statements (and put them in my book): Domain of funcoids preserves joins. Image of funcoids preserves joins. Domain of reloids preserves joins. Image of reloids preserves joins. I’ve proved it using Galois connections.

read more
Algebraic general topology Filters General Topology

I’ve proved the conjecture about composition of reloids through atomic reloids

By Victor Porton
On October 29, 2013

From a new version of preprint of my book: Corollary 7.18 If $latex f$ and $latex g$ are composable reloids, then $latex g \circ f = \bigsqcup \left\{ G \circ F \, | \, F \in \mathrm{atoms}\, f, G \in \mathrm{atoms}\, g…

read more
Open problems

My gibberish with partial proofs

By Victor Porton
On October 29, 2013

I’ve put online my gibberish with partial proofs and proof attempts of my open problems. You can see the PDF file with this gibberish. Please write me (either by email or by blog comments) if you solve anything of this.

read more
Algebraic general topology Category theory General Topology

Co-equalizers and arbitrary co-limits exist in categories Fcd and Rld

By Victor Porton
On October 27, 2013

I’ve uploaded a new version of my article “Equalizers and co-Equalizers in Certain Categories” (a very rough draft). In it is proved (among other) that arbitrary equalizers and co-equalizers of categories Fcd and Rld (continuous maps between endofuncoids and endoreloids) exist. I’ve…

read more
Algebraic general topology Category theory Filters General Topology

Equalizers in certain categories

By Victor Porton
On October 25, 2013

In this my rough draft article I construct equalizers for certain categories (such as the category of continuous maps between endofuncoids). Products and co-products were already proved to exist in my categories, so these categories are complete. In the above mentioned article…

read more
Algebraic general topology Category theory General Topology Open problems

A few new conjectures

By Victor Porton
On October 14, 2013

Conjecture 1. The categories Fcd and Rld are complete and co-complete (actually 4 conjectures). I have not yet spend much time trying to solve this conjecture, it may be probably easy. Conjecture 2. The categories Fcd and Rld are cartesian closed (actually…

read more
Top

Copyright © 2023 Math Research of Victor Porton - WordPress Theme : By Sparkle Themes

  • 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