Abstract

AbstractThe paper provides a brief overview of the origins, methods and results of Boolean valued analysis. Boolean valued representations of some mathematical structures and mappings are given in tabular form. A list of some problems arising outside the theory of Boolean valued models, but solved using the Boolean valued approach, is given. The relationship between the Kantorovich’s heuristic principle and the Boolean valued transfer principle is also discussed.KeywordsVector latticeKantorovich’s principleGordon’s theoremBoolean valued analysisBoolean valued representationMathematics Subject Classification (2000)06F2546A40.

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