Abstract
“(BY ∗∗ , weak). To see that (BX∗∗ , weak∗) × BY is υ-measurable, we call on Choquet’s theory of capacities and K-analytic sets. More specifically, since BY is Polish it is a Kσδ set; it follows that (BX∗∗ , weak ∗) × BY is a Kσδ subset of K , its Cech-Stone compactification. As such it is universally “f -capacitable”, where f ranges over all the regular capacities defined on K; in particular, it is universally measurable with respect to the regular Borel measures on K [cf. G. Choquet, Lectures on Analysis, Vol. I, W. A. Benjamin, Inc., 1969, especially pp. 141–156]. Moreover
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