# Sh:494

- Shelah, S., & Spinas, O. (2000).
*The distributivity numbers of \mathcal P(\omega)/\mathrm{fin} and its square*. Trans. Amer. Math. Soc.,**352**(5), 2023–2047. arXiv: math/9606227 DOI: 10.1090/S0002-9947-99-02270-9 MR: 1751223 -
Abstract:

We show that in a model obtained by forcing with a countable support iteration of length \omega_2 of Mathias forcing {\bf h}(2), the distributivity number of r.o.({\mathcal P}(\omega)/fin)^2, is \omega_1 but {\bf h}, the one of {\mathcal P}(\omega)/fin, is \omega_2. - published version (25p)

Bib entry

@article{Sh:494, author = {Shelah, Saharon and Spinas, Otmar}, title = {{The distributivity numbers of $\mathcal P(\omega)/\mathrm{fin}$ and its square}}, journal = {Trans. Amer. Math. Soc.}, fjournal = {Transactions of the American Mathematical Society}, volume = {352}, number = {5}, year = {2000}, pages = {2023--2047}, issn = {0002-9947}, doi = {10.1090/S0002-9947-99-02270-9}, mrclass = {03E17 (03E05 03E35)}, mrnumber = {1751223}, mrreviewer = {Andreas Blass}, doi = {10.1090/S0002-9947-99-02270-9}, note = {\href{https://arxiv.org/abs/math/9606227}{arXiv: math/9606227}}, arxiv_number = {math/9606227} }