On the complexity of the ideal of absolute null sets
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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