On nonmeasurable selectors of countable group actions
Tom 202 / 2009
Fundamenta Mathematicae 202 (2009), 281-294
MSC: Primary 28A05, 28C10; Secondary 28D05.
DOI: 10.4064/fm202-3-5
Streszczenie
Given a set $X$, a countable group $H$ acting on it and a $\sigma $-finite $H$-invariant measure $m$ on $X$, we study conditions which imply that each selector of $H$-orbits is nonmeasurable with respect to any $H$-invariant extension of $m$.