Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 2010 | Published
Book Section - Chapter Open

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.

Additional Information

©2009, ©2010 Association for Symbolic Logic.

Attached Files

Published - Caicedo2010p12344.pdf

Files

Caicedo2010p12344.pdf
Files (171.5 kB)
Name Size Download all
md5:8c188e66c99ee252127482ae38cf5f8c
171.5 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024