The first omitting cardinal for Magidority

Shimon Garti, Yair Hayut*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


An infinite cardinal λ is Magidor if and only if (Formula presented.). It is known that if λ is Magidor then (Formula presented.) for some α < λ, and the first such α is denoted by α m (λ). In this paper we try to understand some of the properties of α m (λ). We prove that α m (λ) can be the successor of a supercompact cardinal, when λ is a Magidor cardinal. From this result we obtain the consistency of α m (λ) being a successor of a singular cardinal with uncountable cofinality.

Original languageAmerican English
Pages (from-to)95-104
Number of pages10
JournalMathematical Logic Quarterly
Issue number1
StatePublished - May 2019

Bibliographical note

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© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim


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