Higher indescribability and derived topologies

DOI10.1142/s0219061323500010arXiv2102.09598OpenAlexW3131182295MaRDI QIDQ6146540

Brent M. Cody

Publication date: 31 January 2024

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

Full work available at URL: https://arxiv.org/abs/2102.09598

zbMATH Keywords

stationary reflectionderived setsindescribable cardinalsCantor derivatives

Mathematics Subject Classification ID

Large cardinals (03E55) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05)

Cites Work

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• The weakly compact reflection principle need not imply a high order of weak compactness
• Adding a nonreflecting weakly compact set
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• Stationary Sets
• Ideals and Generic Elementary Embeddings
• Mostowski's collapsing function and the closed unbounded filter
• Countable approximations and Löwenheim-Skolem theorems
• Derived topologies on ordinals and stationary reflection
• The consistency strength of hyperstationarity
• A REFINEMENT OF THE RAMSEY HIERARCHY VIA INDESCRIBABILITY
• IDEAL OPERATORS AND HIGHER INDESCRIBABILITY

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