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Unique Extensions of Abstract Measures

✍ Scribed by Gerald A. Kraus

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
217 KB
Volume
59
Category
Article
ISSN
0025-584X

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✦ Synopsis

By GERALD A. KRAUS of Carbondale, Illinois (Eingegangen am 11.7. 1972) Let B be a class of subsets of a set X which satisfies the conations: 0 (Null) E 3, and if A and B belong to .4" then A n B E Y' and A -B is the union of some pairwise disjoint sequence from CY. In the terminology of N. G. DE BRUIJN and A. C. ZAANEN [l], ,Y is a semiring. A measure p on 3 induces an outer measure p* on X (i. e. defined on the power set of X ) in the usual way: p* A is the infimuiii of the numbers p S,, taken

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