More forcing notions imply diamond

DOI10.1007/s001530050047zbMath0871.03038arXivmath/9408215OpenAlexW2592578392MaRDI QIDQ1354343

Saharon Shelah, Andrzej Rosłanowski

Publication date: 4 September 1997

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9408215

zbMATH Keywords

continuumdominating numbercardinal invariantproper forcingSacks forcing\(\lozenge_{\omega_ 1}\)

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (8)

Combinatorial properties of classical forcing notions ⋮ Cardinal invariants and the collapse of the continuum by Sacks forcing ⋮ Forcing with matrices of countable elementary submodels ⋮ Collapsing \(\omega _2\) with semi-proper forcing ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ Tukey reductions of nowhere Ramsey to Silver null sets ⋮ Antichains of perfect and splitting trees ⋮ SILVER ANTICHAINS

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