Geodesic
Addendum to “On Meager Additive and Null Additive Sets in the Cantor space $2^{\omega} $ and in $\mathbb R$” (Bull. Polish Acad. Sci. Math. 57 (2009), 91–99)
Tomasz Weiss1
1 Institute of Mathematics University of Natural Sciences and Humanities 08-110 Siedlce, Poland and Department of Mathematics Cardinal Stefan Wyszyński University in Warsaw Dewajtis 5 01-815 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 1-9.

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

We prove in ZFC that there is a set $A\subseteq 2^{\omega}$ and a surjective function $H : A\to \langle0,1\rangle $ such that for every null additive set $X\subseteq \langle0,1)$, $H^{-1}(X)$ is null additive in $2^\omega$. This settles in the affirmative a question of T. Bartoszyński.
DOI : 10.4064/ba62-1-1
Keywords: prove zfc there set subseteq omega surjective function langle rangle every null additive set subseteq langle null additive omega settles affirmative question bartoszy ski

Tomasz Weiss 1

1 Institute of Mathematics University of Natural Sciences and Humanities 08-110 Siedlce, Poland and Department of Mathematics Cardinal Stefan Wyszyński University in Warsaw Dewajtis 5 01-815 Warszawa, Poland 
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 (Bull. Polish Acad. Sci. Math. 57 (2009), 91–99)
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Tomasz Weiss. Addendum to “On Meager Additive and Null Additive Sets in the Cantor space $2^{\omega} $ and in $\mathbb R$”
 (Bull. Polish Acad. Sci. Math. 57 (2009), 91–99). Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 1-9. doi : 10.4064/ba62-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ba62-1-1/

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