English

$\kappa$-Madness and Definability

Logic 2018-05-21 v1

Abstract

Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal κ\kappa, there are no Σ11(κ)κ\Sigma^1_1(\kappa)-\kappa-mad families.

Keywords

Cite

@article{arxiv.1805.07048,
  title  = {$\kappa$-Madness and Definability},
  author = {Haim Horowitz and Saharon Shelah},
  journal= {arXiv preprint arXiv:1805.07048},
  year   = {2018}
}
R2 v1 2026-06-23T01:59:32.186Z