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1996/1997 On some subsets of spaces equipped with transformation groups
A. B. Kharazishvili
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Real Anal. Exchange 22(2): 818-832 (1996/1997).


For a given space \(E\) equipped with a transformation group \(G\), the notions of a \(G\)-thick set and of a \(G\)-thin set are introduced and discussed. Some relationships between these notions and the theory of \(G\)-invariant (more generally, \(G\)-quasiinvariant) measures are considered.


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A. B. Kharazishvili. "On some subsets of spaces equipped with transformation groups." Real Anal. Exchange 22 (2) 818 - 832, 1996/1997.


Published: 1996/1997
First available in Project Euclid: 22 May 2012

zbMATH: 0941.28001
MathSciNet: MR1460994

Primary: 28A05 , 28A20

Keywords: countable equidecomposability , nonmeasurable set. , quasiinvariant measure , scattered set , selector , thick set , thin set , transformation group

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 2 • 1996/1997
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