I’ve published a new edition of my book Algebraic General Topology. The new edition features “unfixed morphisms” a way to turn a category into a semigroup. (Certain additional structure on the category is needed.) The book features a wide generalization of general…

read moreThis new research field generalizes new theorems as well as former analysis by collapsing several theorems of analysis into one AGT equation:

read moreContinuing my research from general topology monograph Algebraic General Topology, the following new open problems arose: I remind that I define generalized limit of arbitrary function. This limit is defined in terms of funcoids. As I show in the Book 3, Algebra,…

read more“Axiomatic Theory of Formulas: Algebraic Theory of Formulas”: Paperback E-book Homepage Mathematicians studied everything except formulas ðŸ™‚ Now there is an abstract axiomatic system for formulas, too. Read my book. For mathematicians, programmers, and students.

read moreContinuing 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 more