# Sh:475

- Rosłanowski, A., & Shelah, S. (1996).
*More forcing notions imply diamond*. Arch. Math. Logic,**35**(5-6), 299–313. arXiv: math/9408215 DOI: 10.1007/s001530050047 MR: 1420260 -
Abstract:

We prove that the Sacks forcing collapses the continuum onto the dominating number {\mathfrak d}, answering the question of Carlson and Laver. Next we prove that if a proper forcing of the size at most continuum collapses \omega_2 then it forces \diamondsuit_{\omega_1}. - Version 1994-06-19_10 (20p) published version (15p)

Bib entry

@article{Sh:475, author = {Ros{\l}anowski, Andrzej and Shelah, Saharon}, title = {{More forcing notions imply diamond}}, journal = {Arch. Math. Logic}, fjournal = {Archive for Mathematical Logic}, volume = {35}, number = {5-6}, year = {1996}, pages = {299--313}, issn = {0933-5846}, mrnumber = {1420260}, mrclass = {03E40}, doi = {10.1007/s001530050047}, note = {\href{https://arxiv.org/abs/math/9408215}{arXiv: math/9408215}}, arxiv_number = {math/9408215} }