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Cardinal preserving elementary embeddings

Caicedo, Andrés Eduardo (2010) Cardinal preserving elementary embeddings. In: Logic Colloquium 2007. Lecture Notes in Logic. No.35. Cambridge University Press , Cambridge, pp. 14-31. ISBN 9780521760652.

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Say that an elementary embedding j : N → M is cardinal preserving if CAR^M = CAR^N = CAR. We show that if PFA holds then there are no cardinal preserving elementary embeddings j : M → V. We also show that no ultrapower embedding j : V → M induced by a set extender is cardinal preserving, and present some results on the large cardinal strength of the assumption that there is a cardinal preserving j : V → M.

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Additional Information:©2009, ©2010 Association for Symbolic Logic.
Series Name:Lecture Notes in Logic
Issue or Number:35
Record Number:CaltechAUTHORS:20110110-084427448
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21658
Deposited By: Tony Diaz
Deposited On:26 Jan 2011 18:52
Last Modified:03 Oct 2019 02:27

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