What Is Boolean Valued Analysis
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Boolean Valued Analysis
Author: A. G. Kusraev
language: en
Publisher: Springer Science & Business Media
Release Date: 1999
Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.
Analysis of Boolean Functions
Author: Ryan O'Donnell
language: en
Publisher: Cambridge University Press
Release Date: 2014-06-05
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.