On countable dense and strong n-homogeneity

• Autorzy: Jan van Mill
• Języki publikacji: EN

Abstrakty

EN

We prove that if a space X is countable dense homogeneous and no set of size n-1 separates it, then X is strongly n-homogeneous. Our main result is the construction of an example of a Polish space X that is strongly n-homogeneous for every n, but not countable dense homogeneous.

Kategorie tematyczne

• 54H15: Transformation groups and semigroups
• 57S05: Topological properties of groups of homeomorphisms or diffeomorphisms
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 214
• Numer: 3
• Strony: 215-239

Daty

wydano

2011

Twórcy

autor

Jan van Mill

• Department of Mathematics, Faculty of Sciences, VU University Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

Identyfikatory

DOI

10.4064/fm214-3-2