Uniform convergence of probability measures: Topological criteria (Q1340292)

The paper deals with the extensions of Polya's theorem. Uniform convergence of probability measures is analyzed by topologizing the space of events. A generic version of the results of the paper reads: narrow convergence to a \(\tau\)-continuous probability measure implies uniform convergence on every \(\tau\)-compact subclass of sets, where \(\tau\) is certain topology on the space of events.