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Browsing by Author "Shakhmatov, Dimitri"

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Browsing by Author "Shakhmatov, Dimitri"

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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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    Topological groups with dense compactly generated subgroups 
    Fujita, Hiroshi; Shakhmatov, Dimitri (Universitat Politècnica de València, 2002-04-01)
    [EN] A topological group G is: (i) compactly generated if it contains a compact subset algebraically generating G, (ii) -compact if G is a union of countably many compact subsets, (iii) 0-bounded if arbitrary neighborhood ...