On the cardinality of power homogeneous Hausdorff spaces

• Autorzy: G. J. Ridderbos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54B10: Product spaces
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 3
• Strony: 255-266

Daty

wydano

2006

Twórcy

autor

G. J. Ridderbos

• Faculty of Sciences, Division of Mathematics, Vrije Universiteit, De Boelelaan 1081A, 1081 HV Amsterdam, The Netherlands

Identyfikatory

DOI

10.4064/fm192-3-5