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IMCS/Publications/BASM/Issues/BASM n.2 (36), 2001/

Spaces, mappings and compact subsets.

Authors: Chonan Mitrofan M.

Abstract

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.

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