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Descriptive Set Theory

Descriptive Set Theory
by Yiannis N. Moschovakis

Publisher: American Mathematical Society 2009
ISBN/ASIN: 0821848135
ISBN-13: 9780821848135
Number of pages: 516

Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined, and so can be expected to have special properties not enjoyed by arbitrary pointsets. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern "effective" theory and the consequences of strong hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics.

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