On the verge of inconsistency: Magidor cardinals and Magidor filters

DOI10.1007/s11856-017-1510-2zbMath1412.03020arXiv1601.07745OpenAlexW2266061820MaRDI QIDQ2014280

Yair Hayut, Saharon Shelah, Shimon Garti

Publication date: 10 August 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07745

zbMATH Keywords

forcingconsistency strengthJónsson cardinalJónsson filterMagidor cardinalMagidor filter

Mathematics Subject Classification ID

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

Related Items (3)

The first omitting cardinal for Magidority ⋮ Magidor cardinals ⋮ On the verge of inconsistency: Magidor cardinals and Magidor filters

Cites Work

• On Jónsson cardinals with uncountable cofinality
• On the verge of inconsistency: Magidor cardinals and Magidor filters
• Cardinal Arithmetic
• Elementary embeddings and infinitary combinatorics
• No Jónsson filters over ℵ_ω
• Some applications of iterated ultrapowers in set theory
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