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Ihor Zarichnyi

  1. A coarse characterization of the Baire macro-space.

    Втр, 03/29/2011 - 15:01 — SomNambul
    Authors: Taras Banakh, Ihor Zarichnyi
    Subjects: Metric Geometry
    Abstract

    We prove that each coarsely homogenous separable metric space $X$ is coarsely
    equivalent to one of the spaces: the sigleton, the Cantor macro-cube or the
    Baire macro-space.

  2. The coarse and bi-uniform classifications of zero-dimensional homogeneous proper metric spaces.

    Чт, 08/27/2009 - 13:23 — SomNambul
    Authors: Taras Banakh, Ihor Zarichnyi
    Subjects: Metric Geometry
    Abstract

    We prove that any two (uncountable) proper homogeneous ultrametric spaces are
    coarsely (and bi-uniformly) equivalent. For the proof of this result we develop
    a technique of towers which can have an independent interest.

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