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Internal consistency and global co-stationarity of the ground model

Published online by Cambridge University Press:  12 March 2014

Natasha Dobrinen  and
Sy-David Friedman
Natasha Dobrinen*
Affiliation:
Universität Wien, Kurt Gödel Research Center for Mathematical Logic, Währinger Straße 25, 1090 Wien, Austria
Sy-David Friedman
Affiliation:
Universität Wien, Kurt Gödel Research Center for Mathematical Logic, Währinger Straße 25, 1090 Wien, Austria, E-mail: sdf@logic.univie.ac.at, URL: http://www.logic.univie.ac.at/~sdf/
*
University of Denver, Department of Mathematics, 2360 S Gaylord St., Denver, CO 80208, USA, E-mail: ndobrine@du.edu, URL: http://www.math.du.edu/dobrinen/
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Abstract

Global co-stationarity of the ground model from an ℵ2-c.c. forcing which adds a new subset of ℵ1 is internally consistent relative to an ω1-Erdős hyperstrong cardinal and a sufficiently large measurable above.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 2 , June 2008 , pp. 512 - 521
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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