On countable dense and strong n-homogeneity

J. van Mill

doi:10.4064/fm214-3-2

On countable dense and strong n-homogeneity

J. van Mill

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

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. © Instytut Matematyczny PAN, 2011.

Original language	English
Pages (from-to)	215-239
Journal	Fundamenta Mathematicae
Volume	214
DOIs	https://doi.org/10.4064/fm214-3-2
Publication status	Published - 2011

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On countable dense and strong n-homogeneity

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