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- W2172281771 abstract "The main results of the paper are as follows: covering characterizations of wQN-spaces, covering characterizations of QN-spaces and a theorem saying that Cp(X) has the Arkhangel'skiıˇ property (α1) provided that X is a QN-space. The latter statement solves a problem posed by M. Scheepers [M. Scheepers, Cp(X) and Arhangel'skiıˇ's αi-spaces, Topology Appl. 89 (1998) 265–275] and for Tychonoff spaces was independently proved by M. Sakai [M. Sakai, The sequence selection properties of Cp(X), Preprint, April 25, 2006]. As the most interesting result we consider the equivalence that a normal topological space X is a wQN-space if and only if X has the property S1(Γshr,Γ). Moreover we show that X is a QN-space if and only if Cp(X) has the property (α0), and for perfectly normal spaces, if and only if X has the covering property (β3)." @default.
- W2172281771 created "2016-06-24" @default.
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- W2172281771 date "2007-02-01" @default.
- W2172281771 modified "2023-09-25" @default.
- W2172281771 title "QN-spaces, wQN-spaces and covering properties" @default.
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- W2172281771 doi "https://doi.org/10.1016/j.topol.2006.09.008" @default.
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