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Browsing by Subject "Lindelöf Σ-spaces"

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Browsing by Subject "Lindelöf Σ-spaces"

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    On a three-space property for Lindelöf Sigma-spaces, (WCG)-spaces and the Sobczyk property 
    Ferrer, Jesús; Kakol, Jerzy; López Pellicer, Manuel; Wójtowicz, Marek (Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2011)
    [EN] Corson's example shows that there exists a Banach space EE which is not weakly normal but EE contains a closed subspace isomorphic to the Banach space C[0,1]C[0,1] and such that the quotient space E/C[0,1]E/C[0,1] is ...
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    Some topological cardinal inequalities for spaces Cp(X) 
    Ferrando, J. C.; Kakol, Jerzy; López Pellicer, Manuel; Muñoz, M. (Elsevier, 2013-06-15)
    Using the index of Nagami we get new topological cardinal inequalities for spaces Cp(X). A particular case of Theorem 1 states that if L ⊆ Cp(X) is a Lindelöf Σ-space and the Nagami index Nag(X) of X is less or equal ...
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    When is an ultracomplete space almost locally compact? 
    Jardón Arcos, Daniel; Tkachuk, Vladimir V. (Universitat Politècnica de València, 2006-10-01)
    [EN] We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having ...