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2011/2012 A Large Group of Nonmeasurable Additive Functions
Alexander B. Kharazishvili
Real Anal. Exchange 37(2): 467-476 (2011/2012).


By assuming the Continuum Hypothesis, it is proved that there exists a subgroup of \(\mathbb{R}^\mathbb{R}\) of cardinality strictly greater than the cardinality of the continuum, all nonzero members of which are absolutely nonmeasurable additive functions.


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Alexander B. Kharazishvili. "A Large Group of Nonmeasurable Additive Functions." Real Anal. Exchange 37 (2) 467 - 476, 2011/2012.


Published: 2011/2012
First available in Project Euclid: 15 April 2013

zbMATH: 1276.28003
MathSciNet: MR3080606

Primary: 28A05 , 28D05

Keywords: absolutely nonmeasurable function , additive function , continuous measure , Continuum hypothesis , translation quasi-invariant measure , universal measure zero set

Rights: Copyright © 2011 Michigan State University Press

Vol.37 • No. 2 • 2011/2012
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