Geodesic
An abstract and generalized approach to the Vitali theorem on nonmeasurable sets
Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 65-70.

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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.
DOI : 10.21136/MB.2019.0116-17
Classification : 28A05, 28D05
Keywords: 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 
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Basu, Sanjib; Sen, Debasish. An abstract and generalized approach to the Vitali theorem on nonmeasurable sets. Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 65-70. doi : 10.21136/MB.2019.0116-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0116-17/

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