A Fubini theorem |
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Authors: | S?awomir Solecki |
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Affiliation: | Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, IL 61801, USA |
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Abstract: | Let I0 be the σ-ideal of subsets of a Polish group generated by Borel sets which have perfectly many pairwise disjoint translates. We prove that a Fubini-type theorem holds between I0 and the σ-ideals of Haar measure zero sets and of meager sets. We use this result to give a simple proof of a generalization of a theorem of Balcerzak-Ros?anowski-Shelah stating that I0 on N2 strongly violates the countable chain condition. |
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Keywords: | primary, 03E05, 28C10 secondary, 28E15, 43A10 |
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