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/