Descriptive Set Theory And The Structure Of Sets Of Uniqueness (london Mathematical Society Lecture Note Series)
by Alexander S. Kechris /
1987 / English / DjVu
8.6 MB Download
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.
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.
