More rigid ideals
Abstract
We extend prior results of Cody-Eskew, showing the consistency of GCH with the statement that for all regular cardinals $\kappa \leq \lambda$, where $\kappa$ is the successor of a regular cardinal, there is a rigid saturated ideal on $\mathcal{P}_\kappa\lambda$. We also show the consistency of some instances of rigid saturated ideals on $\mathcal{P}_\kappa\lambda$ where $\kappa$ is the successor of a singular cardinal.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2019
- DOI:
- 10.48550/arXiv.1901.02075
- arXiv:
- arXiv:1901.02075
- Bibcode:
- 2019arXiv190102075E
- Keywords:
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- Mathematics - Logic