Compactification of spaces of measures and pseudocompactness

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We prove pseudocompactness of a Tychonoff space X and the space P(X) of Radon probability measures on it with the weak topology under the condition that the Stone–ech compactification of the space P(X) is homeomorphic to the space P(βX) of Radon probability measures on the Stone–ech compactification of the space X.

作者简介

V. Bogachev

Moscow State Lomonosov University; National Research University Higher School of Economics; Saint-Tikhon's Orthodox University; Moscow Center of Fundamental and Applied Mathematics

编辑信件的主要联系方式.
Email: vibogach@mail.ru

Corresponding Member of the RAS

俄罗斯联邦, Moscow; Moscow; Moscow; Moscow

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