A Fubini theorem
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- 作者：Sł ; awomir Solecki
- 关键词：Fubini's theorem ; Haar null sets ; Meager sets
- 刊名：Topology and its Applications
- 出版年：2007
- 出版时间：15 June 2007
- 年：2007
- 卷：154
- 期：12
- 页码：2462-2464
- 全文大小：106 K
文摘
Let 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 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–Rosłanowski–Shelah stating that on strongly violates the countable chain condition.