zbMATH — the first resource for mathematics

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
Full Text: