[bibtex key=HamkinsKirmayerPerlmutter2012:GeneralizationsOfKunenInconsistency]
We present several generalizations of the well-known Kunen inconsistency that there is no nontrivial elementary embedding from the set-theoretic universe V to itself. For example, there is no elementary embedding from the universe V to a set-forcing extension V[G], or conversely from V[G] to V, or more generally from one ground model of the universe to another, or between any two models that are eventually stationary correct, or from V to HOD, or conversely from HOD to V, or indeed from any definable class to V, among many other possibilities we consider, including generic embeddings, definable embeddings and results not requiring the axiom of choice. We have aimed in this article for a unified presentation that weaves together some previously known unpublished or folklore results, several due to Woodin and others, along with our new contributions.
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Hi. I am looking for a G Kirmayer who is or was interested in Universal Algebra. My name is Bill Rowan and I am seeing a kirmayerg on the univalg@yahoogroups.com list with a bouncing email at ams.org. If possible, I would like to have an email address so that I could invite him to join the new univalg@googlegroups.com list. Thank you so much!
Try gkirmayer@alum.mit.edu.