On nonmeasurable selectors of countable group actions

Volume 202 / 2009

Piotr Zakrzewski Fundamenta Mathematicae 202 (2009), 281-294 MSC: Primary 28A05, 28C10; Secondary 28D05. DOI: 10.4064/fm202-3-5


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 $m$.


  • Piotr ZakrzewskiInstitute of Mathematics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland

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