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Browsing by Author "Tkachenko, Mikhail"

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Browsing by Author "Tkachenko, Mikhail"

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    Compact self T1-complementary spaces without isolated points 
    Tkachenko, Mikhail (Universitat Politècnica de València, 2009-10-01)
    [EN] We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), ...
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    Some properties of o-bounded and strictly o-bounded groups 
    Hernández, C.; Robbie, D.; Tkachenko, Mikhail (Universitat Politècnica de València, 2000-10-01)
    [EN] We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a ...
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    Strengthening connected Tychonoff topologies 
    Shakhmatov, Dimitri; Tkachenko, Mikhail; Tkachuk, Vladimir V.; Wilson, Richard G. (Universitat Politècnica de València, 2002-10-01)
    [EN] The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff topology is considered. We show that every Tychonoff space X satisfying ω (X) ≤ c and c (X) ≤ N0 admits a finer ...
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    The character of free topological groups I 
    Nickolas, Peter; Tkachenko, Mikhail (Universitat Politècnica de València, 2005-04-01)
    [EN] A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions ...
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    The character of free topological groups II 
    Nickolas, Peter; Tkachenko, Mikhail (Universitat Politècnica de València, 2005-04-01)
    [EN] A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces. In the first case, it is shown that ...