On nonmeasurable selectors of countable group actions

Piotr Zakrzewski

Fundamenta Mathematicae (2009)

  • Volume: 202, Issue: 3, page 281-294
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Piotr Zakrzewski. "On nonmeasurable selectors of countable group actions." Fundamenta Mathematicae 202.3 (2009): 281-294. <http://eudml.org/doc/283325>.

@article{PiotrZakrzewski2009,
abstract = {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.},
author = {Piotr Zakrzewski},
journal = {Fundamenta Mathematicae},
keywords = {nonmeasurable set; group of transformations; invariant measure; measurable transformation; equidecomposable sets},
language = {eng},
number = {3},
pages = {281-294},
title = {On nonmeasurable selectors of countable group actions},
url = {http://eudml.org/doc/283325},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Piotr Zakrzewski
TI - On nonmeasurable selectors of countable group actions
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 3
SP - 281
EP - 294
AB - 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.
LA - eng
KW - nonmeasurable set; group of transformations; invariant measure; measurable transformation; equidecomposable sets
UR - http://eudml.org/doc/283325
ER -

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