### On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes

**V. I. Bogachev, A. F. Miftakhov**

*Theory of Stochastic Processes*

*Vol.21 (37), no.1, 2016, pp.1-11*

We study conditions on metrics on spaces of measurable functions under which weak convergence of Borel probability measures on these spaces follows from weak convergence of finite-dimensional projections of the considered measures.