Measurability properties of sets of Vitali’s type

Solecki, Sławomir

doi:10.1090/S0002-9939-1993-1152992-X

Measurability properties of sets of Vitali’s type
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by Sławomir Solecki

Proc. Amer. Math. Soc. 119 (1993), 897-902

DOI: https://doi.org/10.1090/S0002-9939-1993-1152992-X

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Abstract:

Assume a group $G$ acts on a set. Given a subgroup $H$ of $G$, by an $H$-selector we mean a selector of the set of all orbits of $H$. We investigate measurability properties of $H$-selectors with respect to $G$-invariant measures.

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