Sh:945

• Shelah, S. (2020). On \mathrm{con}(\mathfrak{d}_\lambda>\mathrm{cov}_\lambda(\mathrm{meagre})). Trans. Amer. Math. Soc., 373(8), 5351–5369. arXiv: 0904.0817 DOI: 10.1090/tran/7948 MR: 4127879
• Abstract:
  We prove the consistency of: for suitable strongly inaccessible cardinal \lambda the dominating number, i.e. the cofinaty of {}^\lambda \lambda is strictly bigger than cov(meagre_\lambda), i.e. the minimal number of no-where-dense subsets of {}^\lambda 2 needed to cover it. This answers a question of Matet.
• Version 2022-08-12_2 (25p) published version (19p)

@article{Sh:945,
 author = {Shelah, Saharon},
 title = {{On $\mathrm{con}(\mathfrak{d}_\lambda>\mathrm{cov}_\lambda(\mathrm{meagre}))$}},
 journal = {Trans. Amer. Math. Soc.},
 fjournal = {Transactions of the American Mathematical Society},
 volume = {373},
 number = {8},
 year = {2020},
 pages = {5351--5369},
 issn = {0002-9947},
 mrnumber = {4127879},
 mrclass = {03E35 (03E17 03E55)},
 doi = {10.1090/tran/7948},
 note = {\href{https://arxiv.org/abs/0904.0817}{arXiv: 0904.0817}},
 arxiv_number = {0904.0817}
}