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Probability limit identification functions on separable metric spaces. (English) Zbl 1234.28005

Summary: We show the existence of a probability limit identification function on any separable metrizable topological space and an application of such function in stochastic analysis. The convergence in probability on topological spaces is studied as well.

MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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