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August 2021 Tall Cardinals in Extender Models
Gabriel Fernandes, Ralf Schindler
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Notre Dame J. Formal Logic 62(3): 425-454 (August 2021). DOI: 10.1215/00294527-2021-0023

Abstract

Assuming that there is no inner model with a Woodin cardinal, we obtain a characterization of λ-tall cardinals in extender models that are iterable. In particular, we prove that in such extender models, a cardinal κ is a tall cardinal if and only if it is either a strong cardinal or a measurable limit of strong cardinals.

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Gabriel Fernandes. Ralf Schindler. "Tall Cardinals in Extender Models." Notre Dame J. Formal Logic 62 (3) 425 - 454, August 2021. https://doi.org/10.1215/00294527-2021-0023

Information

Received: 18 May 2019; Accepted: 22 March 2021; Published: August 2021
First available in Project Euclid: 6 October 2021

Digital Object Identifier: 10.1215/00294527-2021-0023

Subjects:
Primary: 03E55
Secondary: 03E45

Rights: Copyright © 2021 University of Notre Dame

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Vol.62 • No. 3 • August 2021
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