Set Theory

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E-Book Overview

Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.

E-Book Content

Springer Monographs in Mathematics Thomas Jech Set Theory The Third Millennium Edition, revised and expanded 123 Thomas Jech e-mail: [email protected] The original edition was published in 1978 by Academic Press, Inc. in the series Pure and Applied Mathematics, vol. 79, with the ISBN 0-12-381950-4 The second edition was published in 1997 by Springer-Verlag under the same title in the series Perspectives in Mathematical Logic Catalog-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Jech, Thomas J.: Set theory / Thomas Jech. - 3rd Millennium ed, rev. and expanded. - Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Paris ; Tokyo : Springer, 2002 (Springer monographs in mathematics) ISBN 3-540-44085-2 Mathematics Subject Classification (2000): 03Exx ISSN 1439-7382 Corrected 4th printing 2006 ISBN-10 3-540-44085-2 Springer-Verlag Berlin Heidelberg New York ISBN-13 978-3-540-44085-7 Springer-Verlag Berlin Heidelberg New York ISBN 3-540-63048-1 2nd ed. Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation,