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

Continue reading# Month: July 2016

## A funcoid related to directed topological spaces

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

Continue reading## Two equivalent conjectures

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

Continue reading## A new conjecture

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

Continue reading## A new theorem about generalized continuity

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

Continue reading## A new easy theorem

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

Continue reading## A vaguely formulated problem

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

Continue reading## A new mapping from funcoids to reloids

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

Continue reading## Normality of a quasi-uniform space on a topology is determined by the proximity induced by the quasi-uniform space

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

Continue reading## Virtual mathematics conferences opened!

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

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