%0 Journal Article
%T The van den Berg--Kesten--Reimer operator and inequality for infinite spaces
%A Richard Arratia
%A Skip Garibaldi
%A Alfred W. Hales
%J Mathematics
%D 2015
%I arXiv
%X We remove the hypothesis "$S$ is finite" from the BKR inequality for product measures on $S^d$, which raises some issues related to descriptive set theory. We also discuss the extension of the BKR operator and inequality, from 2 events to 2 or more events, and we remove, in one sense, the hypothesis that $d$ be finite.
%U http://arxiv.org/abs/1508.05337v3