## 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)