No cardinal correct inner model elementarily embeds into the universe
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912102504988672 |
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| author | Goldberg, Gabriel Thei, Sebastiano |
| author_facet | Goldberg, Gabriel Thei, Sebastiano |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01046 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | No cardinal correct inner model elementarily embeds into the universe Goldberg, Gabriel Thei, Sebastiano Logic 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. |
| title | No cardinal correct inner model elementarily embeds into the universe |
| topic | Logic |
| url | https://arxiv.org/abs/2411.01046 |