TY - JOUR AU - A. B. Kharazishvili PY - 2014/04/25 Y2 - 2024/03/29 TI - On Countable Almost Invariant Partitions of <em class="a-plus-plus">G</em>-Spaces JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 4 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2153 AB - 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. ER -