English

On CON(Dominating_lambda > cov_\lambda(meagre))

Logic 2022-09-07 v7

Abstract

We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating number, i.e. the cofinality of lambda^lambda is strictly bigger than cov(meagre_lambda), i.e. the minimal number of nowhere dense subsets of 2^lambda needed to cover it. This answers a question of Matet.

Keywords

Cite

@article{arxiv.0904.0817,
  title  = {On CON(Dominating_lambda > cov_\lambda(meagre))},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:0904.0817},
  year   = {2022}
}
R2 v1 2026-06-21T12:48:23.761Z