Coherent adequate forcing and preserving CH

DOI10.1142/S0219061315500051zbMath1432.03097arXiv1406.3302MaRDI QIDQ5744318

Miguel Angel Mota, John Krueger

Publication date: 18 February 2016

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

Full work available at URL: https://arxiv.org/abs/1406.3302

zbMATH Keywords

forcingadequate setsside conditionscoherent adequate sets

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (5)

Two applications of finite side conditions at \(\omega _2\) ⋮ Forcing with adequate sets of models as side conditions ⋮ Absoluteness via resurrection ⋮ Mitchell's theorem revisited ⋮ Adding a club with finite conditions. II

Cites Work

• Unnamed Item
• Separating club-guessing principles in the presence of fat forcing axioms
• 𝐼[𝜔₂ can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)]

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