Strong combinatorial principles and level by level equivalence

DOI10.1007/s40574-022-00331-xOpenAlexW4292589832WikidataQ114219079 ScholiaQ114219079MaRDI QIDQ2701204

Arthur W. Apter

Publication date: 27 April 2023

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-022-00331-x

zbMATH Keywords

strongly compact cardinalsquarediamondsupercompact cardinallevel by level equivalence between strong compactness and supercompactness

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Cites Work

• Unnamed Item
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• Set theory. An introduction to independence proofs
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• Diamonds
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• Strong axioms of infinity and elementary embeddings
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• A very weak square principle
• Extensions with the approximation and cover properties have no new large cardinals
• The consistency of level by level equivalence with $V = {\rm HOD}$, the Ground Axiom, and instances of square and diamond
• IN SEARCH OF ULTIMATE-LTHE 19TH MIDRASHA MATHEMATICAE LECTURES
• A new Easton theorem for supercompactness and level by level equivalence
• On the strong equality between supercompactness and strong compactness
• Gap forcing

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