A+ CATEGORY SCIENTIFIC UNIT

Non-meager $P$-filters are countable dense homogeneous

Volume 130 / 2013

Rodrigo Hernández-Gutiérrez, Michael Hrušák Colloquium Mathematicum 130 (2013), 281-289 MSC: 54D80, 54H05, 54B10, 54A35. DOI: 10.4064/cm130-2-9

Abstract

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.

Authors

  • Rodrigo Hernández-GutiérrezCentro de Ciencias Matemáticas
    UNAM, A.P. 61-3
    Xangari, Morelia, Michoacán, 58089, México
    e-mail
  • Michael HrušákCentro de Ciencias Matemáticas
    UNAM, A.P. 61-3
    Xangari, Morelia, Michoacán, 58089, México
    e-mail

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