Addendum to “On Meager Additive and Null Additive Sets in the Cantor space $2^{ω}$ and in ℝ” (Bull. Polish Acad. Sci. Math. 57 (2009), 91-99)

Tomasz Weiss

Addendum to “On Meager Additive and Null Additive Sets in the Cantor space

2^{ω}

and in ℝ” (Bull. Polish Acad. Sci. Math. 57 (2009), 91-99)

Tomasz Weiss

Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014), p. 1-9 / Harvested from The Polish Digital Mathematics Library

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Résumé

We prove in ZFC that there is a set $A \subseteq 2^{ω}$ and a surjective function H: A → ⟨0,1⟩ such that for every null additive set X ⊆ ⟨0,1), $H^{- 1} (X)$ is null additive in $2^{ω}$ . This settles in the affirmative a question of T. Bartoszyński.

Publié le : 2014-01-01

Zbl 1188.03030

EUDML-ID : urn:eudml:doc:281183

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     author = {Tomasz Weiss},
     title = {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)},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {62},
     year = {2014},
     pages = {1-9},
     zbl = {1188.03030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-1-1}
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Tomasz Weiss. Addendum to “On Meager Additive and Null Additive Sets in the Cantor space $2^{ω}$ and in ℝ” (Bull. Polish Acad. Sci. Math. 57 (2009), 91-99). Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-1-1/