English

The first omitting cardinal for Magidority

Logic 2019-05-17 v3

Abstract

We prove that αM(λ)\alpha_M(\lambda) can be successor of a supercompact cardinal, when λ\lambda is a Magidor cardinal. From this result we obtain the consistency of αM(λ)\alpha_M(\lambda) being a successor of a singular cardinal with uncountable cofinality.

Cite

@article{arxiv.1801.00239,
  title  = {The first omitting cardinal for Magidority},
  author = {Shimon Garti and Yair Hayut},
  journal= {arXiv preprint arXiv:1801.00239},
  year   = {2019}
}
R2 v1 2026-06-22T23:33:09.245Z