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.
• Version 1996-06-21_10 (32p) published version (25p)

@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},
 mrnumber = {1751223},
 mrclass = {03E17 (03E05 03E35)},
 doi = {10.1090/S0002-9947-99-02270-9},
 note = {\href{https://arxiv.org/abs/math/9606227}{arXiv: math/9606227}},
 arxiv_number = {math/9606227}
}