Skip to main content
SpringerLink
Log in

A Taste of Proper Forcing

  • Conference paper
Set Theory

Abstract

We review basic definitions and theorems in Shelah’s theory of Proper Forcing.

I am grateful to the CRM in general and to Joan Bagaria and A.R.D. Mathias in particular for inviting me to their conference and for relentlessly reminding me of my promise to write up these notes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dieter Donder and Ulrich Fuchs, Revised Countable Support Iteration, in: Handbook of Set Theory, (Matt Foreman, Akihiro Kanamori, Menachem Magidor, eds.) Kluwer, to appear.

    Google Scholar 

  2. Ulrich Fuchs, Donder’s version of Revised Countable Support, PhD thesis, Freie Universität, Berlin (See also ftp://ftp.math.ufl.edu/pub/logic/fux/rcs.tex.)

  3. Martin Goldstern, Tools for Your Forcing Construction, in:Set Theory of The Reals (Haim Judah, ed.), Israel Mathematical Conference Proceedings 6 (1993) 305–360.

    Google Scholar 

  4. Martin Goldstern and Haim Judah, Iteration of Souslin Forcing, Projective Measurability and the Borel Conjecture, Israel Journal of Mathematics 78 (1992) 335–362.

    Article  MathSciNet  MATH  Google Scholar 

  5. C. Gray, Iterated Forcing from the Strategic Point of View, PhD thesis, University of California, Berkeley, 1982.

    Google Scholar 

  6. T. Jech, Set theory, Academic Press, New York, 1978.

    Google Scholar 

  7. K. Kunen, Set Theory: An Introduction to Independence Proofs, North Holland, Amsterdam, 1980.

    MATH  Google Scholar 

  8. Chaz Schlindwein, Simplified RCS iterations, Arch. Math. Logic 32 (1993) 341–349.

    Article  MathSciNet  MATH  Google Scholar 

  9. Saharon Shelah. Proper Forcing, Lecture Notes in Mathematics 940, Springer-Verlag, Berlin-New York, 1982.

    Book  MATH  Google Scholar 

  10. Saharon Shelah, Proper and Improper Forcing, Perspectives in Mathematical Logic, Springer-Verlag, 1998?

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Technische Universität, Wiedner Hauptstraße 8/118, A-1040, Wien, Austria

    Martin Goldstern

Authors
  1. Martin Goldstern
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Instituto Venezolano de Investigaciones Cientificas, Caracas, Venezuela

    Carlos Augusto Di Prisco

  2. University of Florida, Gainesville, Florida, USA

    Jean A. Larson

  3. Universitat de Barcelona, Barcelona, Spain

    Joan Bagaria

  4. University of Wales, Aberystwyth, Wales, UK

    A. R. D. Mathias

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Goldstern, M. (1998). A Taste of Proper Forcing. In: Di Prisco, C.A., Larson, J.A., Bagaria, J., Mathias, A.R.D. (eds) Set Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8988-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8988-8_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4978-0

  • Online ISBN: 978-94-015-8988-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation