IMI/Publicaţii/BASM/Ediţii/BASM n.2 (36), 2001/

Spaces, mappings and compact subsets.

Authors: Chonan Mitrofan M.


We study analytic subsets and spaces of measures. It is proved that every sieve-complete space is a Prohorov space and that every non σ-scattered analytic subset of a sieve-complete space contains a compact perfect subset. We study the spaces with Prohorov and Skorokhod properties too. It is also shown that the property to be a Prohorov space is not preserved by open compact continuous mappings.