## Tomasz WeissMore remarks on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$

Comment.Math.Univ.Carolin. 59,3 (2018) 311-316.

Abstract: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., {\it A note on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$}, Comment. Math. Univ. Carolin. {\bf 54} (2013), no. 3, 437--445] in the negative.

Keywords: intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$; null additive set; meager additive set

DOI: DOI 10.14712/1213-7243.2015.252
AMS Subject Classification: 03E05 03E17

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