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Boolean Valued and Stone Algebra Valued Measure Theories

✍ Scribed by Hirokazu Nishimura

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
402 KB
Volume
40
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

In conventional generalization of the main results of classical measure theory to Stone algebra valued measures, the values that measures and functions can take are Booleanized, while the classical notion of a σ‐field is retained. The main purpose of this paper is to show by abundace of illustrations that if we agree to Booleanize the notion of a σ‐field as well, then all the glorious legacy of classical measure theory is preserved completely.

Mathematics Subject Classification: 03C90, 28B15.

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