Published 2010
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Cardinal preserving elementary embeddings
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.
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©2009, ©2010 Association for Symbolic Logic.Attached Files
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Additional details
- Eprint ID
- 21658
- Resolver ID
- CaltechAUTHORS:20110110-084427448
- Created
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2011-01-26Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Series Name
- Lecture Notes in Logic
- Series Volume or Issue Number
- 35