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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. https://resolver.caltech.edu/CaltechAUTHORS:20110110-084427448

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Abstract

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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://books.google.com/books?id=fZFDYR-cbS8C&pg=PA14&lpg=PA14&dq=Cardinal+preserving+elementary+embeddings&source=bl&ots=VVQrbbrDHN&sig=aIkBYOSi5wH6BeId5MEEIay7G64&hl=en&ei=_zgrTfLWKo6qsAOi7N2ZBw&sa=X&oi=book_result&ct=result&resnum=2&ved=0CBkQ6AEwAQ#v=oPublisherUNSPECIFIED
http://math.boisestate.edu/~caicedo/AuthorUNSPECIFIED
Additional Information:©2009, ©2010 Association for Symbolic Logic.
Series Name:Lecture Notes in Logic
Issue or Number:35
Record Number:CaltechAUTHORS:20110110-084427448
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110110-084427448
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21658
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Jan 2011 18:52
Last Modified:03 Oct 2019 02:27

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