Geodesic
More remarks on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 3, pp. 311-316.

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We prove in ZFC that every ${\mathcal{M}}\cap {\mathcal{N}}$ additive set is ${\mathcal{N}}$ additive, thus we solve Problem 20 from paper [Weiss T., {A note on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$}, Comment. Math. Univ. Carolin. {54} (2013), no. 3, 437-445] in the negative.
DOI : 10.14712/1213-7243.2015.252
Classification : 03E05, 03E17
Keywords: intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$; null additive set; meager additive set 
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Weiss, Tomasz. More remarks on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 3, pp. 311-316. doi : 10.14712/1213-7243.2015.252. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.252/

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