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...
The authors present some surprising connections that sets of uniqueness for trigonometic series have with descriptive set theory. They present many ne...
This volume presents articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to make their articles accessible to mathematicians new to the area
This volume presents articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics;...
Howard Becker Alexander S. Kechris J. W. S. Cassels
A Polish space (group) is a separable, completely metrizable topological space (group). This book is about actions of Polish groups, in connection with--or from the point of view of--the subject of descriptive set theory. Descriptive set theory is the study of definable sets and functions in Polish spaces. The basic classes of definable sets are the classes of Borel, analytic and coanalytic sets, and these constitute the main topic of the book, but the authors also consider other classes of definable sets. This will be a valuable book for all researchers in set theory and related areas.
A Polish space (group) is a separable, completely metrizable topological space (group). This book is about actions of Polish groups, in connection wit...
The proceedings of the Los Angeles Caltech-UCLA Cabal Seminar were originally published in the 1970s and 1980s. Games, Scales, and Suslin Cardinals is the first of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. Focusing on the subjects of Games and Scales (Part 1) and Suslin Cardinals, Partition Properties, and Homogeneity (Part 2), each of the two sections is preceded by an introductory survey...
The proceedings of the Los Angeles Caltech-UCLA Cabal Seminar were originally published in the 1970s and 1980s. Games, Scales, and Suslin Cardinals is...
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional ri
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to ...
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field...
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced...
