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The tree property and the failure of the Singular Cardinal Hypothesis at ℵω2

Published online by Cambridge University Press:  09 April 2017

Dima Sinapova
Dima Sinapova*
Affiliation:
Department of Mathematics, University of California Irvine, Irvine, CA 92697-3875, USA, E-mail: [email protected]
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Abstract

We show that given ω many supercompact cardinals, there is a generic extension in which the tree property holds at ℵω2+ 1 and the SCH fails at ℵω2.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 3 , September 2012 , pp. 934 - 946
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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