Non-meager $P$-filters are countable dense homogeneous
Tom 130 / 2013
Colloquium Mathematicum 130 (2013), 281-289
MSC: 54D80, 54H05, 54B10, 54A35.
DOI: 10.4064/cm130-2-9
Streszczenie
We prove that if $\mathcal {F}$ is a non-meager $P$-filter, then both $\mathcal {F}$ and ${}^ \omega \mathcal {F}$ are countable dense homogeneous spaces.