Geodesic
Strongly meager sets and subsets of the plane
Fundamenta Mathematicae, Tome 156 (1998) no. 3, pp. 279-287.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $X ⊆ 2^w$. Consider the class of all Borel $F ⊆ X×2^w$ with null vertical sections $F_x$, x ∈ X. We show that if for all such F and all null Z ⊆ X, $∪_{x ∈ Z}F_x$ is null, then for all such F, $∪_{x ∈ X}F_x≠2^w$. The theorem generalizes the fact that every Sierpiński set is strongly meager and was announced in [P].
DOI : 10.4064/fm-156-3-279-287

Janusz Pawlikowski 1

1 
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Janusz Pawlikowski. Strongly meager sets and subsets of the plane. Fundamenta Mathematicae, Tome 156 (1998) no. 3, pp. 279-287. doi : 10.4064/fm-156-3-279-287. http://geodesic.mathdoc.fr/articles/10.4064/fm-156-3-279-287/

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