Geodesic
Transitive Properties of Ideals on Generalized Cantor Spaces
Jan Kraszewski1
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 115-118

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set $A\subseteq 2^{\omega _1^{\ }}$ such that for every null set $B\subseteq 2^{\omega _1^{\ }}$ we can find $x\in 2^{\omega _1^{\ }}$ such that $A\cup (A+x)$ cannot be covered by any translation of $B$.
DOI : 10.4064/ba52-2-1
Keywords: compute transitive cardinal coefficients ideals generalized cantor spaces particular there exists null set subseteq omega every null set subseteq omega omega cup cannot covered translation

Jan Kraszewski 1

1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Jan Kraszewski. Transitive Properties of Ideals
 on Generalized Cantor Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 115-118. doi: 10.4064/ba52-2-1

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