Some questions of the theory of stochastic topological spaces. (Russian) Zbl 0604.54011
Boundary value problems, Interuniv. Collect. sci. Works, Perm’ 1983, 97-100 (1983).
[For the entire collection see Zbl 0597.00012.]
Without proof some properties of stochastic topological spaces, and also of stochastic continuous mappings in these spaces are pointed out. Furthermore for stochastic metric spaces the notion of the space of stochastic points is introduced, and a theorem on the continuity of the Nemytskij operator in this space is mentioned, which is an analogue to the well-known Nemytskij theorem.
Without proof some properties of stochastic topological spaces, and also of stochastic continuous mappings in these spaces are pointed out. Furthermore for stochastic metric spaces the notion of the space of stochastic points is introduced, and a theorem on the continuity of the Nemytskij operator in this space is mentioned, which is an analogue to the well-known Nemytskij theorem.
Reviewer: K.Barckow
