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Proper Forcing

  • Saharon Shelah

Part of the Lecture Notes in Mathematics book series (LNM, volume 940)

Table of contents

  1. Front Matter
    Pages I-XXIX
  2. Saharon Shelah
    Pages 1-38
  3. Saharon Shelah
    Pages 39-72
  4. Saharon Shelah
    Pages 73-113
  5. Saharon Shelah
    Pages 153-194
  6. Saharon Shelah
    Pages 195-232
  7. Saharon Shelah
    Pages 233-257
  8. Saharon Shelah
    Pages 258-277
  9. Saharon Shelah
    Pages 304-353
  10. Saharon Shelah
    Pages 394-409
  11. Saharon Shelah
    Pages 410-460
  12. Saharon Shelah
    Pages 461-491
  13. Back Matter
    Pages 492-498

About this book

Introduction

These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book. The author has lectured variants of several of the chapters several times: in University of California, Berkeley, 1978, Ch. III , N, V in Ohio State Univer­ sity in Columbus, Ohio 1979, Ch. I,ll and in the Hebrew University 1979/80 Ch. I, II, III, V, and parts of VI. Moreover Azriel Levi, who has a much better name than the author in such matters, made notes from the lectures in the Hebrew University, rewrote them, and they ·are Chapters I, II and part of III , and were somewhat corrected and expanded by D. Drai, R. Grossberg and the author. Also most of XI §1-5 were lectured on and written up by Shai Ben David. Also our presentation is quite self-contained. We adopted an approach I heard from Baumgartner and may have been used by others: not proving that forcing work, rather take axiomatically that it does and go ahead to applying it. As a result we assume only knowledge of naive set theory (except some iso­ lated points later on in the book).

Keywords

Forcing (Math.) forcing proof set theory theorem

Authors and affiliations

  • Saharon Shelah
    • 1
    • 2
    • 3
    • 4
  1. 1.Institute of MathematicsThe Hebrew UniversityJerusalemIsrael
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  3. 3.Department of MathematicsOhio State UniversityColumbusUSA
  4. 4.Institute of Advanced StudiesThe Hebrew UniversityJerusalemIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-21543-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1982
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-11593-9
  • Online ISBN 978-3-662-21543-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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