English

Meeting, covering and Shelah's Revised GCH

Logic 2023-08-30 v1

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(-, -, -, ω\omega).

Keywords

Cite

@article{arxiv.2308.14779,
  title  = {Meeting, covering and Shelah's Revised GCH},
  author = {Pierre Matet},
  journal= {arXiv preprint arXiv:2308.14779},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2308.14467