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Topological classification of spaces of probability measures on projective spaces
Mathematical Notes, 1997Under some set-theoretic assumptions the author obtains the full characterization of the pair \((P(K),P(X))\), where \(K\) is a metric compact set, \(X\) is an everywhere dense projective subset of \(K\) and \(P(\cdot)\) denotes the space of all probability measures with compact supports on the corresponding space.
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Topological classification of spaces of probability measures for co-analytic sets
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Topology of spaces of probability measures
Sbornik: Mathematics, 1997The authors study the space \(\widehat{P}(X)\) of Radon probability measures on a metric space \(X\) and its subspaces: \(P_c(X)\) of continuous measures, \(P_d(X)\) of discrete measures, and \(P_{\omega}(X)\) of finitely supported measures. They obtain a full topological classification of pairs \((\widehat{P}(X),\widehat{P}(Y))\), where \(X\) is a ...
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