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March 2013 Strong tree properties for small cardinals
Laura Fontanella
J. Symbolic Logic 78(1): 317-333 (March 2013). DOI: 10.2178/jsl.7801220

Abstract

An inaccessible cardinal $\kappa$ is supercompact when $(\kappa, \lambda)$-ITP holds for all $\lambda\geq \kappa$. We prove that if there is a model of ZFC with infinitely many supercompact cardinals, then there is a model of ZFC where for every $n\geq 2$ and $\mu\geq \aleph_n$, we have $(\aleph_n, \mu)$-ITP.

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Laura Fontanella. "Strong tree properties for small cardinals." J. Symbolic Logic 78 (1) 317 - 333, March 2013. https://doi.org/10.2178/jsl.7801220

Information

Published: March 2013
First available in Project Euclid: 23 January 2013

zbMATH: 1279.03070
MathSciNet: MR3087079
Digital Object Identifier: 10.2178/jsl.7801220

Subjects:
Primary: 03E55

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.78 • No. 1 • March 2013
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