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Browsing Факультет комп'ютерних наук, фізики та математики by Author "Savchenko, A."

Browsing Факультет комп'ютерних наук, фізики та математики by Author "Savchenko, A."

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  • Formation of the concept of angle by means of metric geometry on geometric material of 9th grade 
    Kuz‘mich, V.; Kuzmich, L.; Savchenko, A.; Кузьмич, В. І.; Кузьмич, Л. В.; Савченко, О. Г. (2021)
  • FUZZY METRIZATION OF THE SPACES OF IDEMPOTENT MEASURES 
    Brydun, V.; Savchenko, A.; Zarichnyi, M.; Савченко, О. Г. (2020)
    In idempotent mathematics, the idempotent measures (Maslov measures) are counterparts of the probability measures. We provide a fuzzy metrization of the set of idempotent measures on fuzzy metric spaces. We prove that this ...
  • Fuzzy ultrametrics on the setofprobability measures 
    Savchenko, A.; Zarichnyi, M.; Савченко, О. Г. (2009)
    Weintroduceafuzzyultrametriconthesetofprobabilitymeasureswithcompactsupport defined on a fuzzy metric space. The construction is a counterpart, in the realm of fuzzy ultrametricspaces,oftheconstructionduetoVinkandRutteno ...
  • Generalized φ(Ric)-vector fields in special pseudo-Riemannian spaces 
    Savchenko, A.; Vashpanova, N.; Vasylieva, N.; Савченко, О. Г. (2021)
    The paper treats pseudo-Riemannian spaces admitting generalized φ(Ric)-vector fields. We study conditions for the existence of such vectorfieldsinconformallyflat,equidistant,reducibleandKählerianpseudoRiemannianspaces. ...
  • GEODESIC MAPPINGS OF COMPACT GUASI-EINSTEIN SPACES 
    Kiosak, V.; Savchenko, A.; Latysh, O.; Савченко, О. Г. (2021)
    Thepapertreatsgeodesicmappingsofquasi-Einsteinspaceswith gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of ...
  • GEODESIC MAPPINGS OF COMPACT QUASI-EINSTEIN SPACES WITH CONSTANT SCALAR CURVATURE 
    Kiosak, V.; Savchenko, A.; Kamienieva, A.; Савченко, О. Г. (2020)
    In this paper we study a special type of pseudo-Riemannian spaces quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations ...
  • HOLOMORPHICALLY PROJECTIVE MAPPINGS OF SPECIAL KÄHLER MANIFOLDS 
    Kiosak, V.; Savchenko, A.; Shevchenko, T.; Савченко, О. Г. (2018)
    The paper treats diffeomorphisms of special Kählerian manifolds,which preserve analytical planar curves. The research is conducted locally, in tensor shape, without limitations on the sign of metric. The problem is proved ...
  • Hyperspaces and spaces of probability measures on R-trees 
    Lozinska, O.; Savchenko, A.; Zarichnyi, M.; Савченко, О. Г. (2014)
    We prove that the "sliced" hyperspaces and spaces of probability measures of the rooted R-trees are also rooted R-trees.
  • Metrization of free groups on ultrametric spaces 
    Savchenko, A.; Zarichnyi, M.; Савченко, О. Г. (2010)
    We consider ultrametrizations of free topological groups of ultrametric spaces. A construction is defined that determines a functor in the category UMET1 of ultrametric spaces of diameter ≤ 1 and nonexpanding maps. This ...
  • Normal functors in the category of non-Archimedean uni- form spaces 
    Savchenko, A.; Савченко, О. Г. (2009)
    We consider functors in the category of non-Archimedean uniform spaces and uniformly continuous maps generated by some normal functors in the category of compact Hausdor spaces. We also show that any natural transformation ...
  • ON THE CONFORMAL MAPPINGS OF SPECIAL QUASI-EINSTEIN SPACES 
    Kiosak, V.; Savchenko, A.; Gudyreva, E.; Савченко, О. Г. (2019)
    We have studied the conformal mappings of special quasi-Einstein spaces. When pseudo-Riemannian space Vn permits concircular mapping onto the quasi-Einstein space of the first type, then this space is an Einstein space. ...
  • STRONG TOPOLOGY ON THE SET OF PERSISTENCE DIAGRAMS 
    Zarichnyi, M.; Savchenko, A.; Kiosak, V.; Савченко, О. Г. (2019)
    We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck distance). The topology of the obtained space ...
  • ФУНКТОРИ НА КАТЕГОРIЇ K-УЛЬТРАМЕТРИЧНИХ ПРОСТОРIВ 
    Савченко, О. Г.; Savchenko, A. (2011)
    Клас K-ультраметричних просторiв є узагальненням класу ультраметричних просторiв. У статтi розглянуто функтори у категорiї (рiвномiрно) K-ультраметричних просторiв та K-нерозтягуючих вiдображень. Зокрема, показано, що ...

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