The van den Berg–Kesten–Reimer operator and inequality for infinite spaces
Richard Arratia, Skip Garibaldi, Alfred W. Hales · Bernoulli · 2017
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.