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Information × Registration Number 0213U002484, 0110U001366 , R & D reports Title Asymptotical and categorical methods in metric geometry and topological algebra popup.stage_title Head Zarichnyi Mykhailo Mykhailovych, Доктор фізико-математичних наук Registration Date 29-01-2013 Organization Ivan Franko National University of Lviv popup.description2 It is proved that every isometrically homogeneous separable metric space coarsely equivalent to one of three spaces: singleton, Cantor macro-cube and Baire macro-space. Also it is obtained a characterization of metric spaces, coarsely equivalent to the Cantor macro-cube or Baire macro-space. A transfinite extension of asymptotic dimension of Gromov is constructed and proved that this extension classifies spaces with asymptotic property C. It is proved that monadic functor preserves absolute extensors in dimension zero if and only if it generates a binary convexity. Generazing Pontryagin alternative we proved that a locally compact monotetic semigroup with open shifts is compact or discrete. We prove that every simple compact topological semigroup embeds into a idempotent generated simple compact semigroup. It is proved metrizabiality of all compact convex subsets in the space SC_p (X) scatterelly-continuous functions on a separable metrizable space X. Product Description popup.authors Банах Тарас Онуфрійович Бокало Богдан Михайлович Гуран Ігор Йосипович Гутік Олег Володимирович Зарічний Михайло Михайлович Колос Надія Михайлівна Радул Тарас Миколайович Чучман Іван Ярославович popup.nrat_date 2020-04-02 Close