Mappings and Prohorov spaces |
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Authors: | Mitrofan M. Choban |
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Affiliation: | Department of Mathematics, Tiraspol State University, str. Gh. Iablocichin 5, Chi?in?u, MD-2069, Moldova |
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Abstract: | We consider completely regular Hausdorff spaces. In this paper we investigate the space of probability Radon measures P(X) on a space X and the property to be a Prohorov space. We prove that the space P(X) is sieve-complete if and only if X is sieve-complete. Every mapping generates the mapping . Some properties of the mapping P(φ) are studied. In particular, we investigate under which conditions the open continuous image of a Prohorov space is Prohorov. |
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Keywords: | 54B20 54C30 28A06 28C15 |
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