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March 2012 The tree property at ℵω+1
Dima Sinapova
J. Symbolic Logic 77(1): 279-290 (March 2012). DOI: 10.2178/jsl/1327068703

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].

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Dima Sinapova. "The tree property at ℵω+1." J. Symbolic Logic 77 (1) 279 - 290, March 2012. https://doi.org/10.2178/jsl/1327068703

Information

Published: March 2012
First available in Project Euclid: 20 January 2012

zbMATH: 1243.03066
MathSciNet: MR2951641
Digital Object Identifier: 10.2178/jsl/1327068703

Rights: Copyright © 2012 Association for Symbolic Logic

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Vol.77 • No. 1 • March 2012
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