Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series, Series Number 128) (Volume 0) - Softcover

Kechris, Alexander S.; Louveau, Alain

Softcover

ISBN 10: 0521358116 ISBN 13: 9780521358118

Publisher: Cambridge University Press, 1987

Synopsis

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.

About this title

Book Description

To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.

About the Author

Alexander S. Kechris is Professor of Mathematics at the California Institute of Technology. He is the recipient of numerous honors, including the J. S. Guggenheim Memorial Foundation Fellowship and the Carol Karp Prize of the Association for Symbolic Logic. He is also a member of the Scientific Research Board of the American Institute of Mathematics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1987
• Language: English
• ISBN 10: 0521358116
• ISBN 13: 9780521358118
• Binding: Paperback
• Edition number: 1
• Number of pages: 380