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A Sacks real out of nowhere

Published online by Cambridge University Press:  12 March 2014

Jakob Kellner
Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Währinger Straße 25, 1090 Wien, Austria, E-mail:, URL:
Saharon Shelah
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:, URL:


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.

Research Article
Copyright © Association for Symbolic Logic 2012

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