First a prelude:
Taras Banakh, Alex Ravsky “Each regular paratopological group is completely regular” solved a 60 year old open problem.
Taras Banakh introduces what he call normal uniformities (don’t confuse with normal topologies).
My new result, proved with advanced funcoids theory (and never tried to prove it with basic general topology): Whether a uniformity on a topology is normal is determined by the proximity induced by the uniformity. (Moreover I expressed it as an explicit algebraic formula in terms of funcoids: , where is the proximity induced by the quasi-uniformity and is the topological space).
I have just created a new wiki Web site, which is a virtual math conference,
just like a real math meeting but running all the time (not say once per two
Please spread the word that we have a new kind of math conference.
Please post references to your articles, videos, slides, etc.
What are necessary and sufficient conditions for to be a filter for a funcoid ?
A new (but easy to prove) theorem in my research book:
Theorem Let and be endomorphisms of some partially ordered dagger precategory and be a monovalued, entirely defined morphism. Then