Abstract
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.
Citation
Richard Arratia. Skip Garibaldi. Alfred W. Hales. "The van den Berg–Kesten–Reimer operator and inequality for infinite spaces." Bernoulli 24 (1) 433 - 448, February 2018. https://doi.org/10.3150/16-BEJ883
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