On the powersets of singular cardinals in HOD

DOI10.1090/proc/14913zbMath1480.03047OpenAlexW2982566268WikidataQ126862159 ScholiaQ126862159MaRDI QIDQ5218223

Omer Ben-Neria, Itay Neeman, Spencer Unger, M. B. Gitik

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14913

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Ordinal and cardinal numbers (03E10)

Cites Work

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• On the Mitchell and Rudin-Keisler orderings of ultrafilters
• Set theory without choice: Not everything on cofinality is possible
• Ordinal definable subsets of singular cardinals
• The Covering Lemma
• The consistency strength of an infinitary Ramsey property
• SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD
• Homogeneous changes in cofinalities with applications to HOD
• Collapsing the cardinals of HOD
• Inner models and large cardinals

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