Meeting, covering and Shelah's Revised GCH

Abstract

We revisit the application of Shelah's Revised GCH Theorem \cite{SheRGCH} to diamond. We also formulate a generalization of the theorem and prove a small fragment of it. Finally we consider another application of the theorem, to covering numbers of the form cov(-, -, -, $\omega$).

arXiv admin note: text overlap with arXiv:2308.14467