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)

@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}
}