The cofinality of the symmetric group and the cofinality of ultrapowers

We prove that m c f and m c f are both consistent relative to ZFC. This answers a question by Banakh, Repovš and Zdomskyy and a question from [ MS11 ].

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Bibliographic Details
Published in:Israel journal of mathematics 2021-04, Vol.242 (1), p.97-128
Main Authors: Mildenberger, Heike, Shelah, Saharon
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Questions
Theoretical
Citations: Items that this one cites
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Description
Summary:We prove that m c f and m c f are both consistent relative to ZFC. This answers a question by Banakh, Repovš and Zdomskyy and a question from [ MS11 ].
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-021-2124-2