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Descriptive Set Theory (Mathematical Surveys and Monographs) by Yiannis Nicholas Moschovakis is a nonfiction available to read on EtoBox.

What is Descriptive Set Theory (Mathematical Surveys and Monographs) about?

<p>Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ''effective'' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allow

Who reads Descriptive Set Theory (Mathematical Surveys and Monographs)?

Author

Yiannis Nicholas Moschovakis

Publisher

American Mathematical Society

Published

2009

Language

EN

ISBN

9780821848135

Category

nonfiction

Subjects

Mathematics, Stem