Advertisement

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Basic Set Theory

    1. Front Matter
      Pages 1-1
    2. Pages 17-26
    3. Pages 27-35
    4. Pages 37-45
    5. Pages 91-105
    6. Pages 107-123
    7. Pages 125-138
    8. Pages 139-153
    9. Pages 155-172
  3. Advanced Set Theory

    1. Front Matter
      Pages 173-173
    2. Pages 175-200
    3. Pages 201-224
    4. Pages 225-265
    5. Pages 285-309
    6. Pages 311-337
    7. Pages 365-387
    8. Pages 409-439
    9. Pages 441-456
    10. Pages 479-509
    11. Pages 511-541
  4. Selected Topics

    1. Front Matter
      Pages 543-543
    2. Pages 601-614
    3. Pages 627-645
    4. Pages 681-694
    5. Pages 695-705
  5. Back Matter
    Pages 707-769

About this book

Introduction

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.

Keywords

Mengenlehre YellowSale2006 set theory algebra arithmetic axiom of choice Boolean algebra Cardinal number cardinals field forcing ultrapower

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-44761-X
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-44085-7
  • Online ISBN 978-3-540-44761-0
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site