Abstract
For a given commutative group $G$ equipped with a nonzero $\sigma$-finite diffused measure $\mu$, the question of the existence of a subgroup of $G$, nonmeasurable with respect to $\mu$, is discussed.
Citation
A. B. Kharazishvili. "On the Existence of Nonmeasurable Subgroups of Commutative Groups." Real Anal. Exchange 27 (1) 71 - 76, 2001/2002.
Information
Published: 2001/2002
First available in Project Euclid: 6 June 2008
zbMATH: 1056.28009
MathSciNet: MR1887683
Subjects:
Primary:
28A05
,
28D05
Keywords:
Banach-Kuratowski matrix
,
commutative group
,
measure
,
nonmeasurable subgroup
,
Ulam matrix
Rights: Copyright © 2001 Michigan State University Press
