January 2012 – Math Research of Victor Porton

My first article is published

My first math article (titled “Filters on Posets and Generalizations”) was recently published in a peer reviewed, open access journal.

I’ve put online an article (PDF, a partial draft) where I define product of two morphisms for certain categories. (Such

I added the following theorems to Funcoids and Reloids article. The theorems are simple to prove but are surprising, as

I failed to make progress in research of product of funcoids, the next thing I should research in my research

This is my first attempt to define micronization. Definition Let is a binary relation between sets and . micronization of

Product funcoids [outdated link remove] (not a math article but a messy collection of unproved and not exactly formulated statements).

I updated the article Orderings of filters in terms of reloids from “preliminary draft” to just “draft”. It means most

I solved the first problem from this blog post (see Funcoids and Reloids article for a solution). It opens the

I will outline which open problems follow from other open problems. In this post I don’t enter into gory details