On Countable Almost Invariant Partitions of G-Spaces

• Дата: 2014
• Автори: Kharazishvili, A. B., Харазішвілі, А. Б.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2153
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.