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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-1, author = {Jan Kraszewski}, title = {Transitive Properties of Ideals on Generalized Cantor Spaces}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {115-118}, zbl = {1104.03041}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-1} }
Jan Kraszewski. Transitive Properties of Ideals on Generalized Cantor Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 115-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-1/