Boolean Valued and Stone Algebra Valued Measure Theories
Copyright policy )Boolean Valued and Stone Algebra Valued Measure Theories
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, 28B15.
- University of Tsukuba Japan
Boolean valued analysis, Other aspects of forcing and Boolean-valued models, Radon-Nikodym theorems, Stone algebra valued measures, Set functions, measures and integrals with values in ordered spaces, Nonclassical models (Boolean-valued, sheaf, etc.)
Boolean valued analysis, Other aspects of forcing and Boolean-valued models, Radon-Nikodym theorems, Stone algebra valued measures, Set functions, measures and integrals with values in ordered spaces, Nonclassical models (Boolean-valued, sheaf, etc.)
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