A countable dense homogeneous space with a dense rigid open subspace

Jan van Mill

Fundamenta Mathematicae (2008)

  • Volume: 201, Issue: 1, page 91-98
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Jan van Mill. "A countable dense homogeneous space with a dense rigid open subspace." Fundamenta Mathematicae 201.1 (2008): 91-98. <http://eudml.org/doc/282645>.

@article{JanvanMill2008,
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.},
author = {Jan van Mill},
journal = {Fundamenta Mathematicae},
keywords = {countable dense homogeneous spaces; rigid open set; convex set; Hilbert space},
language = {eng},
number = {1},
pages = {91-98},
title = {A countable dense homogeneous space with a dense rigid open subspace},
url = {http://eudml.org/doc/282645},
volume = {201},
year = {2008},
}

TY - JOUR
AU - Jan van Mill
TI - A countable dense homogeneous space with a dense rigid open subspace
JO - Fundamenta Mathematicae
PY - 2008
VL - 201
IS - 1
SP - 91
EP - 98
AB - 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.
LA - eng
KW - countable dense homogeneous spaces; rigid open set; convex set; Hilbert space
UR - http://eudml.org/doc/282645
ER -

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