Iterated extended ultrapowers and supercompactness without choice

DOI10.1016/0168-0072(91)90030-PzbMath0746.03043MaRDI QIDQ1182469

Mitchell Spector

Publication date: 28 June 1992

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

zbMATH Keywords

dependent choiceaxiom of determinatenessiterated ultrapowersinner models of supercompactnessultrapowers in ZF set theory without AC

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Determinacy principles (03E60)

Related Items (1)

Infinitesimal analysis without the axiom of choice

Cites Work

• Ultrapowers without the axiom of choice
• On the determinacy of games on ordinals
• Extended ultrapowers and the Vopěnka-Hrbáček theorem without choice
• Strong axioms of infinity and elementary embeddings
• Some applications of iterated ultrapowers in set theory
• Some combinatorial problems concerning uncountable cardinals
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