Classical Descriptive Set Theory
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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 theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $79.95
Copyright year: 1995
Publication date: 1/6/1995
Size: 6.50" wide x 9.75" long x 1.25" tall
|About This Book|
|Topological and Metric Spaces|
|Compact Metrizable Spaces|
|Locally Compact Spaces|
|Perfect Polish Spaces|
|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|
|Games People Play|
|The Borel Hierarchy|
|The Baire Hierarchy|
|Representations of Analytic Sets|
|Universal and Complete Sets|
|Analytic Well-founded Relations|
|Scales and Uniformization|
|The Projective Hierarchy|
|The Periodicity Theorems|
|Appendix A. Ordinals and Cardinals|
|Appendix B. Well-founded Relations|
|Appendix C. On Logical Notation|
|Notes and Hints|
|Symbols and Abbreviations|