Given a set X, a countable group H acting on it and a σ-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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-5,
author = {Piotr Zakrzewski},
title = {On nonmeasurable selectors of countable group actions},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {281-294},
zbl = {1193.28003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-5}
}
Piotr Zakrzewski. On nonmeasurable selectors of countable group actions. Fundamenta Mathematicae, Tome 205 (2009) pp. 281-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-5/