On having a countable cover by sets of small local diameter
Ribarska, Nadezhda
Studia Mathematica, Tome 141 (2000), p. 99-116 / Harvested from The Polish Digital Mathematics Library
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A characterization of topological spaces admitting a countable cover by sets of small local diameter close in spirit to known characterizations of fragmentability is obtained. It is proved that if X and Y are Hausdorff compacta such that C(X) has an equivalent p-Kadec norm and Cp(Y) has a countable cover by sets of small local norm diameter, then Cp(X×Y) has a countable cover by sets of small local norm diameter as well.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:216763 
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     year = {2000},
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Ribarska, Nadezhda. On having a countable cover by sets of small local diameter. Studia Mathematica, Tome 141 (2000) pp. 99-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv140i2p99bwm/

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