Classical Descriptive Set Theory

Name: Classical Descriptive Set Theory
Price: 66.41 USD
Availability: InStock
ISBN: 9780387943749

ISBN-10: 0387943749

ISBN-13: 9780387943749

Edition: 1995

Authors: Alexander S. Kechris

List price: $79.95

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Description:

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 should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set…

Book details

List price: $79.95
Copyright year: 1995
Publisher: Springer New York
Publication date: 1/6/1995
Binding: Hardcover
Pages: 404
Size: 6.10" wide x 9.25" long x 0.38" tall
Weight: 3.762



Preface


Introduction


About This Book



Polish Spaces



Topological and Metric Spaces



Trees



Polish Spaces



Compact Metrizable Spaces



Locally Compact Spaces



Perfect Polish Spaces



Zero-dimensional Spaces



Baire Category



Polish Groups



Borel Sets



Measurable Spaces and Functions



Borel Sets and Functions



Standard Borel Spaces



Borel Sets as Clopen Sets



Analytic Sets and the Separation Theorem



Borel Injections and Isomorphisms



Borel Sets and Baire Category



Borel Sets and Measures



Uniformization Theorems



Partition Theorems



Borel Determinacy



Games People Play



The Borel Hierarchy



Some Examples



The Baire Hierarchy



Analytic Sets



Representations of Analytic Sets



Universal and Complete Sets



Examples



Separation Theorems



Regularity Properties



Capacities



Analytic Well-founded Relations



Co-Analytic Sets



Review



Examples



Co-Analytic Ranks



Rank Theory



Scales and Uniformization



Projective Sets



The Projective Hierarchy



Projective Determinacy



The Periodicity Theorems



Epilogue


Appendix A. Ordinals and Cardinals


Appendix B. Well-founded Relations


Appendix C. On Logical Notation


Notes and Hints


References


Symbols and Abbreviations


Index