Continuing 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 moreI have proved (for any products, including infinite products): Product of directly compact funcoids is directly compact. Product of reversely compact funcoids is reversely compact. Product of compact funcoids is compact. The proof is in my draft article and is not yet…

read moreIt was my long time dream since the first course of the university to do math analysis in algebraic fashion instead of the notorious epsilon-delta notation overloaded with quantifiers. This dream has been accomplished. I discovered a new math theory in which…

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