# Sh:945

- Shelah, S. (2020).
*On \rm con(\mathfrak{d}_\lambda>cov_\lambda(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 2021-05-28_2 (23p) published version (19p)

Bib entry

@article{Sh:945, author = {Shelah, Saharon}, title = {{On $\rm con(\mathfrak{d}_\lambda>cov_\lambda(meagre))$}}, 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} }