Some remarks on nonmeasurable almost invariant sets
Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995).

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We discuss some properties of almost invariant sets in connection with a measure extension problem. We consider a question on the existence of an almost invariant subset of a basic space, nonmeasurable with respect to a given nonzero (δ-finite quasiinvariant (in particular, invariant) measure defined on this space.
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     title = {Some remarks on nonmeasurable almost invariant sets},
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Kharazishvili, Aleksander. Some remarks on nonmeasurable almost invariant sets. Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995). http://geodesic.mathdoc.fr/item/AULFM_1995_07_a7/