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arxiv: 0801.1721 · v2 · submitted 2008-01-11 · 🧮 math.GN · math.FA

Probability measures and Milyutin maps between metric spaces

classification 🧮 math.GN math.FA
keywords spacescompletelymapsmeasuresmetrizablemilyutinprobabilityapplied
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We prove that the functor $\Hat{P}$ of Radon probability measures transforms any open map between completely metrizable spaces into a soft map. This result is applied to establish some properties of Milyutin maps between completely metrizable spaces.

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