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arXiv · 2103.00072

A note on cardinal preserving embeddings

Gabriel Goldberg
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Abstract

We prove the consistency of the theory ZFC + there is a strongly compact cardinal from the existence of a cardinal preserving embedding from the universe into an inner model. The proof almost shows that under SCH, every cardinal preserving embedding preserves the cofinality and continuum functions.

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Gabriel Goldberg. 2021-02-26. A note on cardinal preserving embeddings. https://arxiv.org/abs/2103.00072

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