There are two changes in Products in dagger categories with complete ordered Mor-sets draft article: 1. I’ve removed the section
Continue readingCategory: Pointfree topology
A wiki about applying generalized limit to singularities theory
I have created a wiki about development of theory of singularities using generalized limits. Please read my book (where among
Continue readingNew concept: metamonovalued morphisms
Let fix some dagger category every of Hom-sets of which is a complete lattice, and the dagger functor agrees with
Continue readingConjecture solved positively
I’ve proved this conjecture. See my book (which also contains a pointfree version of this theorem).
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 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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