The weakly compact reflection principle need not imply a high order of weak compactness

DOI10.1007/s00153-019-00686-7zbMath1445.03058arXiv1707.08506OpenAlexW2755141267WikidataQ127558511 ScholiaQ127558511MaRDI QIDQ2288337

Hiroshi Sakai, Brent M. Cody

Publication date: 17 January 2020

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

Full work available at URL: https://arxiv.org/abs/1707.08506

zbMATH Keywords

forcingreflection principleweakly compact

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (4)

Generalisations of stationarity, closed and unboundedness, and of Jensen's \(\square\) ⋮ Higher indescribability and derived topologies ⋮ Forcing a \(\square(\kappa)\)-like principle to hold at a weakly compact cardinal ⋮ Adding a nonreflecting weakly compact set

Cites Work

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• On splitting stationary subsets of large cardinals
• Reflecting stationary sets
• Extensions with the approximation and cover properties have no new large cardinals
• Saturation of the weakly compact ideal
• Cardinal preserving ideals
• The fine structure of the constructible hierarchy

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