Geodesic
A countable dense homogeneous space with a dense rigid open subspace
Jan van Mill1
1 Department of Mathematics Faculty of Sciences VU University Amsterdam De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
Fundamenta Mathematicae, Tome 201 (2008) no. 1, pp. 91-98

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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.
DOI : 10.4064/fm201-1-3
Keywords: there polish space which countable dense homogeneous contains dense rigid connected subset answers several questions fitzpatrick zhou

Jan van Mill 1

1 Department of Mathematics Faculty of Sciences VU University Amsterdam De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands 
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Jan van Mill. A countable dense homogeneous space with a
 dense rigid open subspace. Fundamenta Mathematicae, Tome 201 (2008) no. 1, pp. 91-98. doi: 10.4064/fm201-1-3

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