Some observations on filters with properties defined by open covers

Rodrigo Hernández-Gutiérrez; Paul J. Szeptycki

Commentationes Mathematicae Universitatis Carolinae (2015)

  • Volume: 56, Issue: 3, page 355-364
  • ISSN: 0010-2628

Abstract

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We study the relation between the Hurewicz and Menger properties of filters considered topologically as subspaces of 𝒫 ( ω ) with the Cantor set topology.

How to cite

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Hernández-Gutiérrez, Rodrigo, and Szeptycki, Paul J.. "Some observations on filters with properties defined by open covers." Commentationes Mathematicae Universitatis Carolinae 56.3 (2015): 355-364. <http://eudml.org/doc/271602>.

@article{Hernández2015,
abstract = {We study the relation between the Hurewicz and Menger properties of filters considered topologically as subspaces of $\mathcal \{P\}(\omega )$ with the Cantor set topology.},
author = {Hernández-Gutiérrez, Rodrigo, Szeptycki, Paul J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {filters; Menger property; Hurewicz property; filter; Hurewicz property; Menger property},
language = {eng},
number = {3},
pages = {355-364},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some observations on filters with properties defined by open covers},
url = {http://eudml.org/doc/271602},
volume = {56},
year = {2015},
}

TY - JOUR
AU - Hernández-Gutiérrez, Rodrigo
AU - Szeptycki, Paul J.
TI - Some observations on filters with properties defined by open covers
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 3
SP - 355
EP - 364
AB - We study the relation between the Hurewicz and Menger properties of filters considered topologically as subspaces of $\mathcal {P}(\omega )$ with the Cantor set topology.
LA - eng
KW - filters; Menger property; Hurewicz property; filter; Hurewicz property; Menger property
UR - http://eudml.org/doc/271602
ER -

References

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