Construction of non-subadditive measures and discretization of Borel measures
نویسندگان
چکیده
منابع مشابه
Loeb Measures and Borel Algebras
It is shown that a measurable function from an atomless Loeb probability space (Ω,A, P ) to a Polish space is at least continuum-to-one valued almost everywhere. It follows that there is no injective mapping h : [0, 1] → Ω such that h([a, b]) is Loeb measurable for each 0 ≤ a < b ≤ 1 and P (h([0, 1])) > 0. Thus, when an atomless Loeb measurable algebra on an internal set of cardinality continuu...
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On the Extension of Borel Measures
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1995
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-147-3-213-237