Consider the category of (proximally) continuous maps (entirely defined monovalued functions) between endo-funcoids. Remind from my book that morphisms of
Continue readingMonth: August 2013
My fool topology study
I am (re)reading Bourbaki “General Topology” (in Russian language). Despite I am a general topologist, I have never had a
Continue readingPointfree funcoids as a generalization of frames/locales
I’ve put online my rough partial draft of the theory of bijective correspondence between frames/locales and certain pointfree funcoids. Pointfree
Continue readingMy study of pointfree topology
I have read The point of pointless topology today and am going to study the book Johnstone “Stone Spaces” which
Continue readingOne more conjecture about provability without axiom of choice
I addition to this conjecture I formulate one more similar conjecture: Conjecture for arbitrary filters and on a powerset cannot
Continue readingConjecture: Distributivity of a lattice of funcoids is not provable without axiom of choice
Conjecture Distributivity of the lattice of funcoids (for arbitrary sets and ) is not provable in ZF (without axiom of
Continue readingDefinition of order of pointfree funcoids changed in my book
In this blog post I announced that I am going to change the definition of order of pointfree funcoids in
Continue readingChanged the definition of order of pointfree funcoids
In my preprint I defined pre-order of pointfree funcoids by the formula . Sadly this does not define a poset,
Continue readingPointfree funcoid induced by a locale or frame?
I have shown in my research monograph that topological (even pre-topological) spaces are essentially (via an isomorphism) a special case
Continue readingMy further study plans
I remind that I am not a professional mathematician. Nevertheless I have written research monograph “Algebraic General Topology. Volume 1”.
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