English

On the non-existence of $\kappa$-mad families

Logic 2019-06-25 v1

Abstract

Starting from a model with a Laver-indestructible supercompact cardinal κ\kappa, we construct a model of ZF+DCκZF+DC_{\kappa} where there are no κ\kappa-mad families.

Keywords

Cite

@article{arxiv.1906.09538,
  title  = {On the non-existence of $\kappa$-mad families},
  author = {Haim Horowitz and Saharon Shelah},
  journal= {arXiv preprint arXiv:1906.09538},
  year   = {2019}
}