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Algebraic sums of sets in Marczewski-Burstin algebras. (English) Zbl 1106.28001
The authors prove that a family of Marczewski-Burstin algebra over groups are not closed under algebraic sums. They also present an application of almost invariant sets to the difference property in the sense of Bruijn.
MSC:
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
39A70 Difference operators
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