Transitive Properties of Ideals on Generalized Cantor Spaces

Jan Kraszewski. "Transitive Properties of Ideals on Generalized Cantor Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 52.2 (2004): 115-118. <http://eudml.org/doc/281101>.

@article{JanKraszewski2004,
abstract = {We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set $A ⊆ 2^\{ω₁\}$ such that for every null set $B ⊆ 2^\{ω₁\}$ we can find $x ∈ 2^\{ω₁\}$ such that A ∪ (A+x) cannot be covered by any translation of B.},
author = {Jan Kraszewski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {generalized Cantor spaces; transitive cardinal coefficients},
language = {eng},
number = {2},
pages = {115-118},
title = {Transitive Properties of Ideals on Generalized Cantor Spaces},
url = {http://eudml.org/doc/281101},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Jan Kraszewski
TI - Transitive Properties of Ideals on Generalized Cantor Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 115
EP - 118
AB - We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set $A ⊆ 2^{ω₁}$ such that for every null set $B ⊆ 2^{ω₁}$ we can find $x ∈ 2^{ω₁}$ such that A ∪ (A+x) cannot be covered by any translation of B.
LA - eng
KW - generalized Cantor spaces; transitive cardinal coefficients
UR - http://eudml.org/doc/281101
ER -