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Classical Descriptive Set Theory

  • Textbook
  • © 1995

Overview

Part of the book series: Graduate Texts in Mathematics (GTM, volume 156)

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About this book

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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Keywords

Table of contents (40 chapters)

  1. Polish Spaces

  2. Borel Sets

Authors and Affiliations

  • Alfred P. Sloan Laboratory of Mathematics and Physics Mathematics 253-37, California Institute of Technology, Pasadena, USA

    Alexander S. Kechris

Bibliographic Information

  • Book Title: Classical Descriptive Set Theory

  • Authors: Alexander S. Kechris

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4190-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Hardcover ISBN: 978-0-387-94374-9Published: 06 January 1995

  • Softcover ISBN: 978-1-4612-8692-9Published: 21 December 2011

  • eBook ISBN: 978-1-4612-4190-4Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XVIII, 404

  • Topics: Mathematical Logic and Foundations, Topology

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