The ideal (a) is not G δ generated

Marta Frankowska; Andrzej Nowik

Colloquium Mathematicae (2011)

  • Volume: 125, Issue: 1, page 7-14
  • ISSN: 0010-1354

Abstract

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We prove that the ideal (a) defined by the density topology is not G δ generated. This answers a question of Z. Grande and E. Strońska.

How to cite

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Marta Frankowska, and Andrzej Nowik. "The ideal (a) is not $G_δ$ generated." Colloquium Mathematicae 125.1 (2011): 7-14. <http://eudml.org/doc/284307>.

@article{MartaFrankowska2011,
abstract = {We prove that the ideal (a) defined by the density topology is not $G_δ$ generated. This answers a question of Z. Grande and E. Strońska.},
author = {Marta Frankowska, Andrzej Nowik},
journal = {Colloquium Mathematicae},
keywords = {density topology; nowhere dense sets; ideal of sets; -generated ideal},
language = {eng},
number = {1},
pages = {7-14},
title = {The ideal (a) is not $G_δ$ generated},
url = {http://eudml.org/doc/284307},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Marta Frankowska
AU - Andrzej Nowik
TI - The ideal (a) is not $G_δ$ generated
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 1
SP - 7
EP - 14
AB - We prove that the ideal (a) defined by the density topology is not $G_δ$ generated. This answers a question of Z. Grande and E. Strońska.
LA - eng
KW - density topology; nowhere dense sets; ideal of sets; -generated ideal
UR - http://eudml.org/doc/284307
ER -

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