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Browsing by Subject "Regular open set"

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Browsing by Subject "Regular open set"

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    Concerning nearly metrizable spaces 
    Mukherjee, M. N.; Mandal, Dhananjoy (Editorial Universitat Politècnica de València, 2013-10-01)
    The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is ...
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    Near metrizability via a new approach 
    Mandal, Dhananjoy; Mukherjee, M. N. (Editorial Universitat Politècnica de València, 2014-04-07)
    [EN] The present article deals with near metrizability, initiated in an earlier paper, with a new orientation and approach. The notions of nearly regular and uniform pseudo-bases are introduced and analogues of some results ...
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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 ...