The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces
Michael G. Charalambous
Fundamenta Mathematicae, Tome 184 (2004), p. 41-52 / Harvested from The Polish Digital Mathematics Library
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We prove that every Baire subspace Y of c₀(Γ) has a dense Gδ metrizable subspace X with dim X ≤ dim Y. We also prove that the Kimura-Morishita Eberlein compactifications of metrizable spaces preserve large inductive dimension. The proofs rely on new and old results concerning the dimension of uniform spaces.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:283341 
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     year = {2004},
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Michael G. Charalambous. The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces. Fundamenta Mathematicae, Tome 184 (2004) pp. 41-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm182-1-2/