Perfect tree forcings for singular cardinals

DOI10.1016/j.apal.2020.102827zbMath1485.03209arXiv1707.04234OpenAlexW3024309854MaRDI QIDQ2195635

Dan Hathaway, Karel Prikry, Natasha Dobrinen

Publication date: 27 August 2020

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04234

zbMATH Keywords

forcingcardinal characteristics of the continuumlarge cardinalscomplete Boolean algebrasdistributive laws

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

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Cites Work

• Uncountable superperfect forcing and minimality
• Minimal collapsing extensions of models of ZFC
• Minimally generated Boolean algebras
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• The non-compactness of square
• The space of ultrafilters on N covered by nowhere dense sets
• A minimal degree which collapses ω₁
• Perfect-set forcing for uncountable cardinals
• Global co-stationarity of the ground model from a new countable length sequence
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