Topological Spaces with the Strong Skorokhod Property

Autor:	T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov
Rok vydání:	2001
Předmět:	Mathematics::Probability General Mathematics
Zdroj:	gmj. 8:201-220
ISSN:	1572-9176 1072-947X
DOI:	10.1515/gmj.2001.201
Popis:	We study topological spaces with the strong Skorokhod property, i.e., spaces on which all Radon probability measures can be simultaneously represented as images of Lebesgue measure on the unit interval under certain Borel mappings so that weakly convergent sequences of measures correspond to almost everywhere convergent sequences of mappings. We construct nonmetrizable spaces with such a property and investigate the relations between the Skorokhod and Prokhorov properties. It is also shown that a dyadic compact has the strong Skorokhod property precisely when it is metrizable.
Databáze:	OpenAIRE
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