Extendible cardinals and the mantle

DOI10.1007/S00153-018-0625-4OpenAlexW2963796299WikidataQ129951476 ScholiaQ129951476MaRDI QIDQ1712929

Toshimichi Usuba

Publication date: 24 January 2019

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

Full work available at URL: https://arxiv.org/abs/1803.03944

zbMATH Keywords

mantleextendible cardinalset-theoretic geology

Mathematics Subject Classification ID

Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

Related Items (3)

STEEL’S PROGRAMME: EVIDENTIAL FRAMEWORK, THE CORE AND ULTIMATE-L ⋮ Choice principles in local mantles ⋮ Subcomplete forcing principles and definable well‐orders

Cites Work

• Certain very large cardinals are not created in small forcing extensions
• Set-theoretic geology
• VARSOVIAN MODELS I
• The downward directed grounds hypothesis and very large cardinals
• Extensions with the approximation and cover properties have no new large cardinals
• The HOD Dichotomy
• The ground axiom

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