On countable dense and strong n-homogeneity

Jan van Mill. "On countable dense and strong n-homogeneity." Fundamenta Mathematicae 214.3 (2011): 215-239. <http://eudml.org/doc/286483>.

@article{JanvanMill2011,
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.},
author = {Jan van Mill},
journal = {Fundamenta Mathematicae},
keywords = {countable dense homogeneous; (strongly) -homogeneous; continuous action; Polish space; counterexample},
language = {eng},
number = {3},
pages = {215-239},
title = {On countable dense and strong n-homogeneity},
url = {http://eudml.org/doc/286483},
volume = {214},
year = {2011},
}

TY - JOUR
AU - Jan van Mill
TI - On countable dense and strong n-homogeneity
JO - Fundamenta Mathematicae
PY - 2011
VL - 214
IS - 3
SP - 215
EP - 239
AB - 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.
LA - eng
KW - countable dense homogeneous; (strongly) -homogeneous; continuous action; Polish space; counterexample
UR - http://eudml.org/doc/286483
ER -