The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces

• Autorzy: Michael G. Charalambous
• Języki publikacji: EN

Abstrakty

EN

We prove that every Baire subspace Y of c₀(Γ) has a dense $G_δ$ 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.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 54E15: Uniform structures and generalizations
• 54E35: Metric spaces, metrizability
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 182
• Numer: 1
• Strony: 41-52

Daty

wydano

2004

Twórcy

autor

Michael G. Charalambous

• Department of Mathematics, University of the Aegean, 83 200, Karlovassi, Samos, Greece

Identyfikatory

DOI

10.4064/fm182-1-2