Completion regular measures on product spaces with application to the existence of Baire strong liftings
نویسندگان
چکیده
منابع مشابه
Measures on the Product of Compact Spaces
If K is an uncountable metrizable compact space, we prove a “factorization” result for a wide variety of vector valued Borel measures μ defined onK. This result essentially says that for every such measure μ there exists a measure μ′ defined on K such that the measure μ of a product A1 × · · · × An of Borel sets of K equals the measure μ′ of the intersection A1 ∩ · · · ∩An, where the Ai’s are c...
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The foundations of regular variation for Borel measures on a complete separable space S, that is closed under multiplication by nonnegative real numbers, is reviewed. For such measures an appropriate notion of convergence is presented and the basic results such as a Portmanteau theorem, a mapping theorem and a characterization of relative compactness are derived. Regular variation is defined in...
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When studying questions about real numbers, it is common practice in set theory to investigate the closely related Baire space ω and Cantor space 2 . These spaces have been extensively studied by set theorists from various points of view, e.g., questions about cardinal characteristics of the continuum, descriptive set theory and other combinatorial questions. Furthermore, the investigation of 2...
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In Proposition 2.6 in (G. Gruenhage, A. Lutzer, Baire and Volterra spaces, textit{Proc. Amer. Math. Soc.} {128} (2000), no. 10, 3115--3124) a condition that every point of $D$ is $G_delta$ in $X$ was overlooked. So we proved some conditions by which a Baire space is equivalent to a Volterra space. In this note we show that if $X$ is a monotonically normal $T_1...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1991
ISSN: 0019-2082
DOI: 10.1215/ijm/1255987896