An abstract and generalized approach to the Vitali theorem on nonmeasurable sets

An abstract and generalized approach to the Vitali theorem on nonmeasurable sets

Here we present abstract formulations of two theorems of Solecki which deal with some generalizations of the classical Vitali theorem on nonmeasurable sets in spaces with transformation groups.

Bibliographic Details
Main Authors: Sanjib Basu, Debasish Sen
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2020-04-01
Series:Mathematica Bohemica
Subjects:
spaces with transformation groups
$k$-additive measurable structure
$k$-small system
upper semicontinuous $k$-small system
$k$-additive algebra admissible with respect to a $k$-small system
Online Access:http://mb.math.cas.cz/full/145/1/mb145_1_6.pdf

Internet

http://mb.math.cas.cz/full/145/1/mb145_1_6.pdf

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