On continuity of correspondences of probability measures in the category of Tychonov spaces

2005/02/23 by Roman Kozhan, Kozhan, Roman
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN) #math.CT #math.GN

paper · pdf · doi:10.48550/arxiv.math/0502474

arxiv created 2005/02/23 · arxiv updated 2009/12/01

Abstract

We consider the correspondence assigning to every Radon measure on two Tychonoff coordinate spaces the set of probability measures with these marginals. It is proved that this correspondence is continuous.

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