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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).

Abstract

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.

Citation

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

Information

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

zbMATH: 1276.28003
MathSciNet: MR3080606

Subjects:
Primary: 28A05, 28D05

Rights: Copyright © 2011 Michigan State University Press

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