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The tree property at ℵω+1

Published online by Cambridge University Press:  12 March 2014

Dima Sinapova
Dima Sinapova*
Affiliation:
Department of Mathematics, University of California Irvine, Irvine, CA 92697-3875, USA, E-mail: dsinapov@math.uci.edu
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Abstract

We show that given ω many supercompact cardinals, there is a generic extension in which there are no Aronszajn trees at ℵω+1· This is an improvement of the large cardinal assumptions. The previous hypothesis was a huge cardinal and ω many supercompact cardinals above it, in Magidor–Shelah [7].

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 1 , March 2012 , pp. 279 - 290
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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