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- W2014782011 abstract "It is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urysohn. Let X be a Cech-complete topological space. We prove that the space Cp(X) of continuous real-valued functions on X endowed with the pointwise topology is Fréchet–Urysohn if and only if Cp(X) has countable bounded tightness, i.e., for every subset A of Cp(X) and every x in the closure of A in Cp(X) there exists a countable and bounding subset of A whose closure contains x. We study also the problem when the weak topology of a locally convex space has countable bounded tightness. Additional results in this direction are provided." @default.
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- W2014782011 date "2003-04-01" @default.
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- W2014782011 title "On countable bounded tightness for spaces Cp(X)" @default.
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- W2014782011 doi "https://doi.org/10.1016/s0022-247x(03)00066-0" @default.
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