Real Analysis Exchange
- Real Anal. Exchange
- Volume 22, Number 1 (1996), 177-183.
On selectors nonmeasurable with respect to quasiinvariant measures
We discuss a question on the existence of partial \(\mu\)-nonmeasurable \(H\)-selectors, where \(\mu\) is a given nonzero \(\sigma\)-finite measure defined on some \(\sigma\)-algebra of subsets of a set \(E\) and quasiinvariant under an uncountable group \(G\) of transformations of \(E\), and \(H\) is an arbitrary countable subgroup of \(G\).
Real Anal. Exchange, Volume 22, Number 1 (1996), 177-183.
First available in Project Euclid: 1 June 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05]
Secondary: 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
Kharazishvili, Aleksander B. On selectors nonmeasurable with respect to quasiinvariant measures. Real Anal. Exchange 22 (1996), no. 1, 177--183. https://projecteuclid.org/euclid.rae/1338515213