A note on cardinal preserving embeddings
Logic
2021-03-02 v1
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.
Cite
@article{arxiv.2103.00072,
title = {A note on cardinal preserving embeddings},
author = {Gabriel Goldberg},
journal= {arXiv preprint arXiv:2103.00072},
year = {2021}
}
Comments
4 pages