English

Non-meager $P$-filters are Countable Dense Homogeneous

General Topology 2018-09-19 v1

Abstract

We prove that if F\mathcal{F} is a non-meager PP-filter, then both F\mathcal{F} and ωF{}^\omega\mathcal{F} are countable dense homogeneous spaces.

Keywords

Cite

@article{arxiv.1809.06814,
  title  = {Non-meager $P$-filters are Countable Dense Homogeneous},
  author = {Rodrigo Hernández-Gutiérrez and Michael Hrušák},
  journal= {arXiv preprint arXiv:1809.06814},
  year   = {2018}
}