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/