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