𝐼[𝜔₂] can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)

DOI10.1090/S0002-9947-08-04664-3zbMath1179.03048arXivmath/0407225OpenAlexW2907682301MaRDI QIDQ3605835

William J. Mitchell

Publication date: 25 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407225

zbMATH Keywords

forcingstationary setMahlo cardinalnonstationary ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35)

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Cites Work

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• Reflecting stationary sets and successors of singular cardinals
• On strong chains of uncountable functions
• Forcing closed unbounded sets
• Directed Sets and Cofinal Types
• Extensions with the approximation and cover properties have no new large cardinals
• A weak variation of shelah's I[ω₂]
• Aronszajn trees and the independence of the transfer property

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