Working Papers, Department of Economics, Rutgers, The State University of New Jersey 2015-12
Suppose that (X,A) is a measurable space and Y is a metrizable, Souslin space. Let Au denote the universal completion of A. Given f : X x Y !R and x 2 X, let f (x,xc) be the lower semicontinuous hull of f (x,xc). If f is (Au B(Y),B(R))-measurable, then f is (Au B(Y),B(R))-measurable.
lower semicontinuous hull jointly measurable function measurable projection theorem normal integrand