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-Rosłanowski-Shelah stating that I0 on 2N strongly violates the countable chain condition.
Original language | English (US) |
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Pages (from-to) | 2462-2464 |
Number of pages | 3 |
Journal | Topology and its Applications |
Volume | 154 |
Issue number | 12 |
DOIs | |
State | Published - Jun 15 2007 |
Externally published | Yes |
Keywords
- Fubini's theorem
- Haar null sets
- Meager sets
ASJC Scopus subject areas
- Geometry and Topology