Titlebook: Nonstandard Methods of Analysis; Anatoly G. Kusraev,Semen S. Kutateladze Book 1994 Springer Science+Business Media Dordrecht 1994 Mathemat

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Boolean-Valued Analysis of Algebraic Systemsgebraic systems in the Boolean-valued model singles out structures with new properties and results in discovering new facts about their structure and interrelations. Such a technique, called direct Boolean-valued interpretation, allows one to produce new theorems or, to be more exact, to extend the

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Boolean Representations in Functional Analysisal events occur. Indeed, by virtue of the transfer and maximum principles, in . there are numbers and groups, Lebesque and Riemann integrals, the Radon-Nikodym theorems are fulfilled, and the Jordan expansion of a matrix is implementable. The elementary technique of descents and ascents, which we go

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Boolean-Valued Universess departing from the preceding layers and arriving at a complete Boolean algebra . chosen beforehand. The principal topics of the present section is constructing such a hierarchy, i.e., the Boolean-valued universe ., as well as studying the general properties of ..