Classical Descriptive Set Theory

Kechris, Alexander S.

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ISBN 10: 1461286921 ISBN 13: 9781461286929
Published by Springer, 2011
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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.

From the Back Cover: Descriptive set theory is the area of mathematics concerned with the study of the structure of definable sets in Polish spaces. Beyond being a central part of contemporary set theory, the concepts and results of descriptive set theory are being used in diverse fields of mathematics, such as logic, combinatorics, topology, Banach space theory, real and harmonic analysis, potential theory, ergodic theory, operator algebras, and group representation theory. This book provides a basic first introduction to the subject at the beginning graduate level. It concentrates on the core classical aspects, but from a modern viewpoint, including many recent developments, like games and determinacy, and illustrates the general theory by numerous examples and applications to other areas of mathematics. The book, which is written in the style of informal lecture notes, consists of five chapters. The first contains the basic theory of Polish spaces and its standard tools, like Baire category. The second deals with the theory of Borel sets. Methods of infinite games figure prominently here as well as in subsequent chapters. The third chapter is devoted to the analytic sets and the fourth to the co-analytic sets, developing the machinery associated with ranks and scales. The final chapter gives an introduction to the projective sets, including the periodicity theorems. The book contains over four hundred exercises of varying degrees of difficulty.

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Title: Classical Descriptive Set Theory
Publisher: Springer
Publication Date: 2011
Binding: Soft cover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 vari. Seller Inventory # 4191253

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Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 428 pp. Englisch. Seller Inventory # 9781461286929

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory. 428 pp. Englisch. Seller Inventory # 9781461286929

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781461286929

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