an:07217180
Zbl 07217180
Basu, Sanjib; Sen, Debasish
An abstract and generalized approach to the Vitali theorem on nonmeasurable sets
EN
Math. Bohem. 145, No. 1, 65-70 (2020).
00450498
2020
j
28A05 28D05
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
Summary: Here we present abstract formulations of two theorems of \textit{S. Solecki} [Proc. Am. Math. Soc. 119, No. 1, 115--124 (1993; Zbl 0784.28006); ibid. 897--902 (1993; Zbl 0795.28010)] which deal with some generalizations of the classical Vitali theorem on nonmeasurable sets in spaces with transformation groups.
Zbl 0784.28006; Zbl 0795.28010