Non-meager P-filters are countable dense homogeneous

Rodrigo Hernández-Gutiérrez; Michael Hrušák

Colloquium Mathematicae (2013)

  • Volume: 130, Issue: 2, page 281-289
  • ISSN: 0010-1354

Abstract

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We prove that if ℱ is a non-meager P-filter, then both ℱ and ω are countable dense homogeneous spaces.

How to cite

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Rodrigo Hernández-Gutiérrez, and Michael Hrušák. "Non-meager P-filters are countable dense homogeneous." Colloquium Mathematicae 130.2 (2013): 281-289. <http://eudml.org/doc/284080>.

@article{RodrigoHernández2013,
abstract = {We prove that if ℱ is a non-meager P-filter, then both ℱ and $^\{ω\}ℱ$ are countable dense homogeneous spaces.},
author = {Rodrigo Hernández-Gutiérrez, Michael Hrušák},
journal = {Colloquium Mathematicae},
keywords = {countable dense homogeneous; -filter},
language = {eng},
number = {2},
pages = {281-289},
title = {Non-meager P-filters are countable dense homogeneous},
url = {http://eudml.org/doc/284080},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Rodrigo Hernández-Gutiérrez
AU - Michael Hrušák
TI - Non-meager P-filters are countable dense homogeneous
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 2
SP - 281
EP - 289
AB - We prove that if ℱ is a non-meager P-filter, then both ℱ and $^{ω}ℱ$ are countable dense homogeneous spaces.
LA - eng
KW - countable dense homogeneous; -filter
UR - http://eudml.org/doc/284080
ER -

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