I have researched relations between directed topological spaces and pair of funcoids. Here the first funcoid represents topology and the
Continue readingMonth: 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 readingTwo equivalent conjectures
I have added to my book a short proof that the following two conjectures are equivalent: Conjecture for every reloids
Continue readingA new conjecture
While writing my book I overlooked to consider the following statement: Conjecture for principal funcoid and a set of funcoids
Continue readingA 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 readingA new easy theorem
I added a new easy to prove proposition to my book: Proposition An endofuncoid is -separable iff for every .
Continue readingA vaguely formulated problem
Consider funcoid (restricted identity funcoids on Frechet filter on some infinite set). Naturally (where is the identity morphism). But it
Continue readingA 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 readingNormality 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 readingVirtual 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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