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Browsing ІНДИВІДУАЛЬНІ КОЛЕКЦІЇ ВИКЛАДАЧІВ ТА СПІВРОБІТНИКІВ by Author "Zarichnyi, M."

Browsing ІНДИВІДУАЛЬНІ КОЛЕКЦІЇ ВИКЛАДАЧІВ ТА СПІВРОБІТНИКІВ by Author "Zarichnyi, M."

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  • Frechet distance on the set of compact trees 
    Lozinska, O.; Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2015)
    We introduce a counterpart of the Fr echet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.
  • 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 ...
  • 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 ...
  • Probability measure monad on the category of fuzzy ultrametric spaces 
    Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2011)
    It is proved that the probability measure functor comprises a monad on the category of fuzzy ultrametric spaces and nonexpanding maps. It is also proved that the G-symmetric power functor admits an extension on the Kleisli ...
  • 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 ...
  • Triples of infinite iterations of hyperspaces of maxнplus compact convex sets 
    Savchenko, А.; Zarichnyi, M.; Савченко, О. Г. (2016)
    Geometrу of the innite iterated hуperspace of compact max-plus convex sets, their completions and compactications is investigated.

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