Open Mappings of Probability Measures and the Skorohod Representation Theorem
نویسندگان
چکیده
We prove that for a broad class of spaces X and Y (including all Souslin spaces), every open surjective mapping f : X ! Y induces the open mapping 7 ! f ?1 between the spaces of probability measures P(X) and P(Y). Connections with the Skorohod representation theorem and its generalizations are discussed.
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