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The Journal of Symbolic Logic The Journal of Symbolic Logic

Article contents

A Sacks real out of nowhere

Published online by Cambridge University Press:  12 March 2014

Jakob Kellner  and
Saharon Shelah
Jakob Kellner
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Währinger Straße 25, 1090 Wien, Austria, E-mail: kellner@fsmat.at, URL: http://www.logic.univie.ac.at/~kellner
Saharon Shelah
Affiliation:
Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA, E-mail: shelah@math.huji.ac.il, URL: http://www.math.rutgers.edu/~shelah
Corresponding
E-mail address:
kellner@fsmat.at
shelah@math.huji.ac.il
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Abstract

There is a proper countable support iteration of length ω adding no new reals at finite stages and adding a Sacks real in the limit.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 51 - 76
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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[4] Goldstern, Martin, Tools for your forcing construction, Set theory of the reals (Ramat Gan, 1991), Israel Mathematics Conference Proceedings, vol. 6, Bar-Ilan University, Ramat Gan, 1993, pp. 305–360.Google Scholar
[5] Goldstern, Martin and Kellner, Jakob, New reals: can live with them, can live without them, Mathematical Logic Quarterly, vol. 52 (2006), no. 2, pp. 115–124.CrossRefGoogle Scholar
[6] Shelah, Saharon, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin, 1982.CrossRefGoogle Scholar
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[9] Zapletal, Jindřich, Forcing idealized, Cambridge Tracts in Mathematics, vol. 174, Cambridge University Press, Cambridge, 2008.CrossRefGoogle Scholar

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