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Saccharinity

Published online by Cambridge University Press:  12 March 2014

Jakob Kellner  and
Saharon Shelah
Jakob Kellner
Affiliation:
Kurt Gödel Research Center For Mathematical Logic, Universität Wien, 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, URL: http://shelah.logic.at/
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Abstract

We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. As an application, we introduce a new method to force (weak) measurability of all definable sets with respect to a certain (non-ccc) ideal.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 4 , December 2011 , pp. 1153 - 1183
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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