AN EQUICONSISTENCY RESULT ON PARTIAL SQUARES

DOI10.1142/S0219061311000992zbMath1258.03068OpenAlexW2072257469MaRDI QIDQ3094359

John Krueger, Ernest Schimmerling

Publication date: 24 October 2011

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

Full work available at URL: https://doi.org/10.1142/s0219061311000992

zbMATH Keywords

partial square sequencegreatly Mahlo cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45)

Related Items (5)

In memoriam: James Earl Baumgartner (1943--2011) ⋮ Separating weak partial square principles ⋮ A Galvin-Hajnal theorem for generalized cardinal characteristics ⋮ Successive cardinals with no partial square ⋮ Knaster and friends II: The C-sequence number

Cites Work

• Reflecting stationary sets and successors of singular cardinals
• Coherent sequences and threads
• Weak Compactness and No Partial Squares
• 𝐼[𝜔₂ can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)]
• On splitting stationary subsets of large cardinals
• Jensen's ⃞ principles and the Novák number of partially ordered sets
• Reflecting stationary sets
• A weak variation of shelah's I[ω₂]
• The fine structure of the constructible hierarchy

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