Unlimited accumulation by the Shelah's PCF operator

Mohammad Golshani

Unlimited accumulation by the Shelah's PCF operator

Logic 2023-04-06 v3

Authors: Mohammad Golshani

Abstract

Modulo the existence of large cardinals, there is a model of set theory in which for some set $B$ of regular cardinals, the sequence $\langle \text{pcf}^\alpha(B): \alpha \in \text{Ord} \rangle$ is strictly increasing. The result answers a question from [7].

Keywords

pcf theory pcf operator regular cardinals large cardinals set theory model

Cite

@article{arxiv.2205.10709,
  title  = {Unlimited accumulation by the Shelah's PCF operator},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:2205.10709},
  year   = {2023}
}

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Unlimited accumulation by the Shelah's PCF operator

Abstract

Keywords

Cite

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