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Information × Registration Number 0225U002019, (0122U001602) , R & D reports Title Topological algebra and asymptotic topology and their applications popup.stage_title Топологічна алгебра і асимптотична топологія та їх застосування Head Banakh Taras O., д.ф.-м.н. Registration Date 14-02-2025 Organization Ivan Franko National University of Lviv popup.description1 The aim of the project is to create a theory of completeness of topological semigroups, in particular to find criteria for absolute closedness of topological semigroups in terms of completeness, calculation of cardinal characteristics of some semi-ideals of small sets in topological groups, in particular ideals of Arbo sets. It is also planned to develop methods of homological algebra in order to apply it to the analysis of large-scale structure of metric spaces that occur in large databases. popup.description2 The research work was carried out in topological algebra, asymptotic topology and applications of topological and geometric methods in genetics and electric power engineering. Also, a new direction of fundamental research in Fundamentals of Geometry was initiated, which is important for the implementation of the University's task of training high-quality qualified personnel in mathematical education. Product Description popup.authors Bazylevych Lidiia Ye. Brydun Viktoriia L. Hryniv Olena S. Hutik Oleh V. Zarichnyi Mykhailo M. Popadiuk Olha B. Pstryi Kateryna M. Radul Taras M. Romaniv Oleh M. Sukhorukova Khrystyna O. popup.nrat_date 2025-02-14 Close