Continuing this blog post: The set of all pointfree funcoids on upper semilattices with least elements is exactly a certain algebraic structure defined by propositional formulas. Really just add the identities defining a pointfree funcoid to the identities of an upper semilattice…
read moreA few seconds ago I realized that certain cases of pointfree funcoids can be described as a structure in the sense of mathematical logic, that is as a finite set of operations and relational symbols. Precisely, if a pointfree funcoid $latex f$…
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In recent days I published three scientific books on Amazon Kindle Direct Publishing Program. My books contain complex formulas and yet I succeeded after much trying to find a way to publish them both as paperback and as e-books, yes with formulas….
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A new book for mathematicians and programmers published: Axiomatic Theory of Formulas or Algebraic Theory of Formulas. The book is an undergraduate level but contains a new theory. Get it: PAPERBACK E-BOOK From the preface: This new mathematical theory developed by the…
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Algebraic general topology Filters General Topology Math on the Web Nonsmooth analysis Pointfree topology Publications
Algebraic General Topology (a book series for both postdoctorals and college students) is a new branch of mathematics that replaces General Topology. Yes, general topology is now legacy! We have something better than topological spaces, funcoids. You almost spent time in vain…
read moreNo root of -1? No limit of discontinuous function? Like as once roots were generalized for negative numbers, I succeeded to generalize limits for arbitrary discontinuous functions. The formula of limit of discontinuous function is based on algebraic general topology, my generalization…
read moreAfter a long time of being an unaccepted genius, the first volume of my book Algebraic General Topology is published officially (by the biggest Russian science publisher INFRA-M). The most general in general topology and algebraic theory, generalization of limit for multivalued…
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Algebraic general topology Filters General Topology Life Math on the Web Nonsmooth analysis Open problems Pointfree topology Publications
I’ve sent the final version of the first edition of my research monograph Algebraic General Topology. Volume 1 to Russian publisher INFRA-M and signed the publication contract. They are going to publish my book electronically. They also asked to send them a…
read moreThe online book Algebraic General Topology. Volume 1 was updated. The update corrects a few errors in the section “Equivalent filters and rebase of filters” (which was previously marked as unchecked for errors).
read moreThe organization EULER Foundation and personally their president Vostokov Sergey Vladimirovich are discriminatory. Moreover as they accept donations from general public, they are cheaters because they don’t warn the donors that their money is going to be used discriminatory. They say on…
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