We prove that the ideal (a) defined by the density topology is not generated. This answers a question of Z. Grande and E. Strońska.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-2,
author = {Marta Frankowska and Andrzej Nowik},
title = {The ideal (a) is not $G\_$\delta$$ generated},
journal = {Colloquium Mathematicae},
volume = {122},
year = {2011},
pages = {7-14},
zbl = {1258.03061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-2}
}
Marta Frankowska; Andrzej Nowik. The ideal (a) is not $G_δ$ generated. Colloquium Mathematicae, Tome 122 (2011) pp. 7-14. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-1-2/