Abstract
Let X be a compact Hausdorff space and let A be a linear subspace of C ( X ; R ) C(X;\mathbb {R}) containing the constant functions, and separating points from probability measures. Then the inf-lattice generated by A is uniformly dense in C ( X ; R ) C(X;\mathbb {R}) . We show that this is a corollary of the Choquet-Deny Theorem, thus simplifying the proof and extending to the nonmetric case a result of McAfee and Reny.
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