English

On CON(${\mathfrak d}_\lambda >$ cov$_\lambda$(meagre))

Logic 2020-02-25 v4

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_lambda(meagre), i.e. the minimal number of nowhere dense subsets of ^{lambda}2 needed to cover it. This answers a question of Matet.

Keywords

Cite

@article{arxiv.1302.3449,
  title  = {On CON(${\mathfrak d}_\lambda >$ cov$_\lambda$(meagre))},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:1302.3449},
  year   = {2020}
}

Comments

The paper was multiply submitted by mistake. Correct number arXiv:0904.0817

R2 v1 2026-06-21T23:26:14.784Z