文档介绍：Problem Books in Mathematics
Edited by P. Winkler
Péter Komjáth and Vilmos Totik
Problems and Theorems
in Classical Set Theory
Péter Komjáth Vilmos Totik
Department puter Science Department of Mathematics
Eotvos Lorand University, Budapest University of South Florida
Budapest 1117 Tampa, FL 33620
Hungary USA
and
Series Editor: Bolyai Institute
Peter Winkler University of Szeged
Department of Mathematics Szeged
Dartmouth College Hungary
Hanover, NH 03755-3551 6720
Peter.******@ ******@
Mathematics Subject Classification (2000): 03Exx, 05-xx, 11Bxx
Library of Congress Control Number: 2005938489
ISBN-10: 0-387-30293-X
ISBN-13: 978-0387-30293-5
Printed on acid-free paper.
© (2006) Springer Science+Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in part without
the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring
Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or
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Printed in the United States of America. (MVY)
987654321
Dedicated to Andr´asHajnal
and to the memory of
Paul Erd˝os and G´eza Fodor
Contents
Preface..................................................... xi
Part I Problems
1 Operations on sets ......................................... 3
2 Countability ............................................... 9
3 Equivalence ................................................ 13
4 Continuum ............................................