Editorial Board James E. Humphreys (Chair) David J. Saltman David Sattinger Julius L. Shaneson 1991 Mathematics Subject Classification. Primary 04-01, 03E05, 04A20. ABSTRACT. Short but rigorous introductions to various set-theoretic techniques that have found numerous applications outside of set theory are given. Topics covered include: trees, partition cal- culus, applications of Martin's Axiom and the O-principle, closed unbounded and stationary sets, measurable cardinals, and the use of elementary submodels. This volume is aimed at advanced graduate students and mathematical researchers specializing in areas other than set theory who want to broaden their knowledge of contemporary set theory. It can be studied independently of Volume I of the same text. Librar y of Congress Cataloging-in-Publication D a t a Just, W. (Winfried) Discovering modern set theory / Winfried Just, Martin Weese. p. cm. (Graduate studies in mathematics, ISSN 1065-7339 V. 8) Includes bibliographical references and index. Contents: 1. The basics ISBN 0-8218-0266-6 (v. 1 : hard cover : alk. paper) 1. Set theory. I. Weese. Martin. II. Title. III. Series. QA248.J87 1995 511.3/22-dc20 95-44663 CIP Copyin g an d reprinting . Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication (including abstracts) is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Assistant to the Publisher, American Mathematical Society, P. O. Box 6248, Providence, Rhode Island 02940-6248. Requests can also be made by e-mail to reprint-permission@ams.org. © 1997 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. @ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at URL: http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 02 01 00 99 98 97
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