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We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set such that for every null set we can find such that A ∪ (A+x) cannot be covered by any translation of B.
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 -