July 2016 – Math Research of Victor Porton

Directed topological spaces and funcoids

I have researched relations between directed topological spaces and pair of funcoids. Here the first funcoid represents topology and the

The following problem arose from my attempt to re-express directed topological spaces in terms of funcoids. Conjecture Let be the

I have added to my book a short proof that the following two conjectures are equivalent: Conjecture for every reloids

While writing my book I overlooked to consider the following statement: Conjecture for principal funcoid and a set of funcoids

I had this theorem in mind for a long time, but formulated it exactly and proved only yesterday. Theorem for

I added a new easy to prove proposition to my book: Proposition An endofuncoid is -separable iff for every .

Consider funcoid (restricted identity funcoids on Frechet filter on some infinite set). Naturally (where is the identity morphism). But it

Less than a hour ago I discovered a new mapping from funcoids to reloids: Definition for every funcoid . Now

First a prelude: Taras Banakh, Alex Ravsky “Each regular paratopological group is completely regular” solved a 60 year old open problem.

I have just created a new wiki Web site, which is a virtual math conference, just like a real math