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arXiv · 2411.01046

No cardinal correct inner model elementarily embeds into the universe

Gabriel Goldberg·Sebastiano Thei
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Abstract

An elementary embedding $j:M\rightarrow N$ between two inner models of ZFC is cardinal preserving if $M$ and $N$ correctly compute the class of cardinals. We look at the case $N=V$ and show that there is no nontrivial cardinal preserving elementary embedding from $M$ into $V$, answering a question of Caicedo.

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Gabriel Goldberg, Sebastiano Thei. 2024-11-01. No cardinal correct inner model elementarily embeds into the universe. https://arxiv.org/abs/2411.01046

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