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/