Lindelöf property and the iterated continuous function spaces
Sokolov, G.
Fundamenta Mathematicae, Tome 142 (1993), p. 87-95 / Harvested from The Polish Digital Mathematics Library
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We give an example of a compact space X whose iterated continuous function spaces Cp(X), CpCp(X),... are Lindelöf, but X is not a Corson compactum. This solves a problem of Gul’ko (Problem 1052 in [11]). We also provide a theorem concerning the Lindelöf property in the function spaces Cp(X) on compact scattered spaces with the ω1th derived set empty, improving some earlier results of Pol [12] in this direction.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:211994 
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Sokolov, G. Lindelöf property and the iterated continuous function spaces. Fundamenta Mathematicae, Tome 142 (1993) pp. 87-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv143i1p87bwm/

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