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Titlebook: Boolean Valued Analysis; A. G. Kusraev,S. S. Kutateladze Book 1999 Springer Science+Business Media Dordrecht 1999 Banach algebra.Banach sp

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Mathematics and Its Applicationshttp://image.papertrans.cn/b/image/189786.jpg
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Universes of Sets,s one, that is, every totality of definite elements which can be united to a whole through a law” or “every collection into a whole . of definite and separate objects . of our perception or our thought” [26].
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Functors of Boolean Valued Analysis, universe. Therein we encounter the fields of real and complex numbers, Banach spaces, differential operators, etc. The objects, representing them, may be perceived to some extend as nonstandard representations of the original mathematical entities.
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Boolean Valued Analysis of Algebraic Systems,, rings, algebras, normed spaces, etc. Applying the descent functor to the established algebraic systems in a Boolean valued model, we distinguish bizarre entities or recognize old acquaintances, which revealing new facts of their life and structure.
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