## Real Analysis Exchange

### On selectors nonmeasurable with respect to quasiinvariant measures

Aleksander B. Kharazishvili

#### Abstract

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 $G$.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 177-183.

Dates
First available in Project Euclid: 1 June 2012

https://projecteuclid.org/euclid.rae/1338515213

Mathematical Reviews number (MathSciNet)
MR1433606

Zentralblatt MATH identifier
0879.28028

#### Citation

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

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