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Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series, Series Number 128)

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Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series, Series Number 128) image
ISBN-10:

0521358116

ISBN-13:

9780521358118

Author(s): Kechris, Alexander S.; Louveau, Alain
Edition: 1
Released: Nov 27, 1987
Publisher: Cambridge University Press
Format: Paperback, 380 pages
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Description:

The authors present some surprising connections that sets of uniqueness for trigonometic series have with descriptive set theory. They present many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. Topics covered include symmetric perfect sets and the solution to the Borel Basis Problem for U, the class of sets of uniqueness. To make the material accessible to both logicians, set theorists and analysts, the authors have covered in some detail large parts of the classical and modern theory of sets of uniqueness as well as the relevant parts of descriptive set theory. Because the book is essentially selfcontained and requires the minimum prerequisites, it will serve as an excellent introduction to the subject for graduate students and research workers in set theory and analysis.

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