Boolean Valued and Stone Algebra Valued Measure Theories

Mathematical Logic Quarterly 40 (1):69-75 (1994)
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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

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10.1002/malq.19940400110

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Two applications of logic to mathematics.Gaisi Takeuti - 1978 - [Princeton, N.J.]: Princeton University Press.

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