A countable dense homogeneous space with a dense rigid open subspace
Volume 201 / 2008
Fundamenta Mathematicae 201 (2008), 91-98
MSC: Primary 57N20.
DOI: 10.4064/fm201-1-3
Abstract
We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.