2017
Том 69
№ 6

All Issues

On Countable Almost Invariant Partitions of G-Spaces

Kharazishvili A. B.

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Abstract

For any σ -finite G-quasiinvariant measure μ given in a G-space, which is G-ergodic and possesses the Steinhaus property, it is shown that every nontrivial countable μ-almost G-invariant partition of the G-space has a μ-nonmeasurable member.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 4, pp 572-579.

Citation Example: Kharazishvili A. B. On Countable Almost Invariant Partitions of G-Spaces // Ukr. Mat. Zh. - 2014. - 66, № 4. - pp. 510–517.

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