On the cardinality of power homogeneous Hausdorff spaces
G. J. Ridderbos
Fundamenta Mathematicae, Tome 189 (2006), p. 255-266 / Harvested from The Polish Digital Mathematics Library
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We prove that the cardinality of power homogeneous Hausdorff spaces X is bounded by d(X)πχ(X). This inequality improves many known results and it also solves a question by J. van Mill. We further introduce Δ-power homogeneity, which leads to a new proof of van Douwen’s theorem.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282832 
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     year = {2006},
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G. J. Ridderbos. On the cardinality of power homogeneous Hausdorff spaces. Fundamenta Mathematicae, Tome 189 (2006) pp. 255-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-5/