Boolean valued and Stone algebra valued measure theories
H Nishimura�- Mathematical Logic Quarterly, 1994 - Wiley Online Library
H Nishimura
Mathematical Logic Quarterly, 1994•Wiley Online LibraryIn 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.
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.
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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