Search academic texts

Information × Registration Number 0216U008072, 0113U004172 , R & D reports Title Asymptotic, algebraic and categorical properties of algebraic-topological objects. popup.stage_title Head Zarichnyi Mykhailo Mykhailovych, Доктор фізико-математичних наук Registration Date 14-06-2016 Organization Ivan Franko National University of Lviv popup.description2 The main goal of this project is the investigation of objects possessing compatible algebraic and topological structures (topologically algebraic structures), using methods of category theory, asymptotic topology, algebraic ,metric and fractal geometry. Such object sare naturally occuring in various subjects, including group theory (countable groups with the word metric), fractal geometry (self-similar objects constructed as orbits of the set of fixed points of a multi-valued dynamical system), category theory (free objects relative to monadic functors), functional analysis (fuctional spaces with different continuity conditions), topological algebra (topological universal algebras, i.e. topological groups or semigroups). The obtained results have applications in topological dynamics, algebra and computer graphics. Product Description popup.authors Банах Тарас Онуфрійович Бокало Богдан Михайлович Бридун Вікторія Любомирівна Гринів Олена Степанівна Гуран Ігор Йосипович Гутік Олег Володимирович Зарічний Михайло Михайлович Колос Надія Мирославівна Радул Тарас Миколайович Холявка Ярослав Михайлович Червак Остап Іванович Чучман Іван Ярославович popup.nrat_date 2020-04-02 Close