2019
Том 71
№ 11

# On the complexity of the ideal of absolute null sets

Zakrzewski P.

Abstract

Answering a question of Banakh and Lyaskovska, we prove that for an arbitrary countable infinite amenable group $G$ the ideal of sets having $\mu$-measure zero for every Banach measure $\mu$ on $G$ is an $F_{\sigma \delta}$ subset of $\{0,1\}^G$.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 2, pp 306-308.

Citation Example: Zakrzewski P. On the complexity of the ideal of absolute null sets // Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 275-276.

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