Assume that G is a group acting on a Polish space. Given a subgroup H of G, by a closed H-selection we mean a closed selection on each orbit of H. We investigate measurability properties of closed H-selections with respect to G-invariant measures, extending some classical result.

Closed selections of Vitali's type

Puglisi D.
2021-01-01

Abstract

Assume that G is a group acting on a Polish space. Given a subgroup H of G, by a closed H-selection we mean a closed selection on each orbit of H. We investigate measurability properties of closed H-selections with respect to G-invariant measures, extending some classical result.
2021
Analitic
Coanalitic sets
Lebesgue measure
Vitali set
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/529377
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