Abstract
Assuming Martin's Axiom, it is proved that there exists a Sierpiński-Zygmund function, which is additive (i.e., is a solution of the Cauchy functional equation) and is absolutely nonmeasurable with respect to the class of all nonzero $\sigma$-finite diffused measures on the real line ${\mathbb R}$.
Citation
A. B. Kharazishvili. A. Razmadze. "On additive absolutely nonmeasurable Sierpiński-Zygmund functions.." Real Anal. Exchange 31 (2) 553 - 560, 2005/2006.
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