We prove that if ℱ is a non-meager P-filter, then both ℱ and are countable dense homogeneous spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-2-9,
author = {Rodrigo Hern\'andez-Guti\'errez and Michael Hru\v s\'ak},
title = {Non-meager P-filters are countable dense homogeneous},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {281-289},
zbl = {1272.54020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-2-9}
}
Rodrigo Hernández-Gutiérrez; Michael Hrušák. Non-meager P-filters are countable dense homogeneous. Colloquium Mathematicae, Tome 131 (2013) pp. 281-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm130-2-9/