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Let 
denote the empirical distribution obtained from a sequence of i.i.d. 
-valued random vectors with common distribution P. If 
is a class of Borel subsets of then we say that it forms a Glivenko–Cantelli class for P if
In this paper we describe a simple technique for identifying such classes, based on the idea of uniformity classes for setwise convergence. Classes for which the method proves successful include the closed half-spaces, closed balls, and the class of all convex subsets of .
