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Information × Registration Number 0217U002756, 0117U006051 , R & D reports Title Graphs and infinitesimal structures which are connected with metric spaces. popup.stage_title Head Dovgoshey Oleksiy Alfredovich, Registration Date 20-10-2017 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Some properties of representing trees of finite ultrametric spaces are studied. It is obtained that representing trees of such spaces are isomorphic if and only if there is a bijective mapping between of these spaces, which saves the balls. The embedding of finite rooted trees in balleans of some special ultrametric spaces is described. Moreover, it is investigated weak similarities between finite semimetric, in particular, finite ultrametric spaces. We also propose the sequential approach to the investigation of the structure of metric spaces (pretangent and tangent) at infinity. Some geometric properties of these spaces are investigated. It is found the criteria of finiteness and boundedness of pretangent spaces at infinity. Product Description popup.authors Білет Вікторія Вікторівна Петров Євген Олександрович popup.nrat_date 2020-04-02 Close