Boolean Valued and Stone Algebra Valued Measure Theories
作者:
Hirokazu Nishimura,
期刊:
Mathematical Logic Quarterly
(WILEY Available online 1994)
卷期:
Volume 40,
issue 1
页码: 69-75
ISSN:0942-5616
年代: 1994
DOI:10.1002/malq.19940400110
出版商: WILEY‐VCH Verlag Berlin GmbH
关键词: Boolean valued analysis;Stone algebra valued measures;Radon‐Nikodym theorems
数据来源: WILEY
摘要:
AbstractIn 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,
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