Appendix B Basics of Boolean Valued Analysis
نویسنده
چکیده
1. General remarks Boolean valued analysis is a branch of functional analysis which uses a special model-theoretic technique that is embodied in the Boolean valued models of set theory. The term was coined by G. Takeuti. The invention of Boolean valued models was not connected with the theory of Boolean algebras but rather has revealed a gemstone among the diverse applications of the latter. It was the celebrated Cohen forcing method for solving the continuum problem whose comprehension gave rise to the Boolean valued models of set theory. Their appearance is commonly associated with the names of D. Scott, R. Solovay, and P. Vopěnka. Boolean valued analysis consists primarily in comparative analysis of a mathematical object or idea simultaneously in some standard and some Boolean valued models which is accomplished by a special technique of ascending and descending.
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