More rigid ideals

DOI10.1007/S11856-019-1905-3arXiv1901.02075WikidataQ127434628 ScholiaQ127434628MaRDI QIDQ6312124

Monroe Eskew

Publication date: 4 January 2019

Abstract: We extend prior results of Cody-Eskew, showing the consistency of GCH with the statement that for all regular cardinals $kappaleqlambda$, where $kappa$ is the successor of a regular cardinal, there is a rigid saturated ideal on $mathcal{P}_{k}appalambda$. We also show the consistency of some instances of rigid saturated ideals on $mathcal{P}_{k}appalambda$ where $kappa$ is the successor of a singular cardinal.

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

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