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
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.
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
Affiliations des auteurs :
Tomasz Weiss 1
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title = {Addendum to {{\textquotedblleft}On} {Meager} {Additive} and {Null} {Additive} {Sets} in the {Cantor} space $2^{\omega} $ and in $\mathbb R${\textquotedblright}
{(Bull.} {Polish} {Acad.} {Sci.} {Math.} 57 (2009), 91{\textendash}99)},
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(Bull. Polish Acad. Sci. Math. 57 (2009), 91–99)
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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
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