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- W2041994881 abstract "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 than the density d(L) of L (which holds for instance if X is a Lindelöf Σ-space), then (i) there exists a completely regular Hausdorff space Y such that Nag(Y)⩽Nag(X), L⊂Cp(Y) and d(L)=d(Y); (ii) Y admits a weaker completely regular Hausdorff topology τ′ such that w(Y,τ′)⩽d(Y)=d(L). This applies, among other things, to characterize analytic sets for the weak topology of any locally convex space E in a large class G of locally convex spaces that includes (DF)-spaces and (LF)-spaces. The latter yields a result of Cascales–Orihuela about weak metrizability of weakly compact sets in spaces from the class G." @default.
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- W2041994881 date "2013-06-01" @default.
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- W2041994881 title "Some topological cardinal inequalities for spaces<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>X</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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- W2041994881 doi "https://doi.org/10.1016/j.topol.2013.04.024" @default.
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