Addendum to “On Meager Additive and Null Additive Sets in the Cantor space $2^{\omega }$ 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)." Bulletin of the Polish Academy of Sciences. Mathematics 62.1 (2014): 1-9. <http://eudml.org/doc/281183>.

@article{TomaszWeiss2014,
abstract = {We prove in ZFC that there is a set $A ⊆ 2^\{ω\}$ 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.},
author = {Tomasz Weiss},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {meager additive set; null additive set; Cantor space; real line},
language = {eng},
number = {1},
pages = {1-9},
title = {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)},
url = {http://eudml.org/doc/281183},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Tomasz Weiss
TI - 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)
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 1
SP - 1
EP - 9
AB - We prove in ZFC that there is a set $A ⊆ 2^{ω}$ 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.
LA - eng
KW - meager additive set; null additive set; Cantor space; real line
UR - http://eudml.org/doc/281183
ER -