Small embedding characterizations for large cardinals

DOI10.1016/j.apal.2018.10.002zbMath1404.03043arXiv1708.06103OpenAlexW2962733259MaRDI QIDQ1625597

Ana Njegomir, Peter Holy, Philipp Lücke

Publication date: 29 November 2018

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

Full work available at URL: https://arxiv.org/abs/1708.06103

zbMATH Keywords

large cardinalselementary embeddingsgeneralized tree properties

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (8)

Ramsey-like operators ⋮ Structural reflection, shrewd cardinals and the size of the continuum ⋮ TREES AND STATIONARY REFLECTION AT DOUBLE SUCCESSORS OF REGULAR CARDINALS ⋮ Strong tree properties, Kurepa trees, and guessing models ⋮ Higher indescribability and derived topologies ⋮ Characterizing large cardinals through Neeman's pure side condition forcing ⋮ A REFINEMENT OF THE RAMSEY HIERARCHY VIA INDESCRIBABILITY ⋮ Huge reflection

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• Flipping properties: A unifying thread in the theory of large cardinals
• Combinatorial Characterization of Supercompact Cardinals
• Proper Forcing and Remarkable Cardinals
• Set Theory
• Aronszajn trees and the independence of the transfer property

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