The cofinality of the symmetric group and the cofinality of ultrapowers

Heike Mildenberger; Saharon Shelah

doi:10.1007/s11856-021-2124-2

The cofinality of the symmetric group and the cofinality of ultrapowers

Heike Mildenberger^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	97-128
Number of pages	32
Journal	Israel Journal of Mathematics
Volume	242
Issue number	1
DOIs	https://doi.org/10.1007/s11856-021-2124-2
State	Published - Apr 2021

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Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.

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10.1007/s11856-021-2124-2

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abstract = "We prove that mcf and mcf are both consistent relative to ZFC. This answers a question by Banakh, Repov{\v s} and Zdomskyy and a question from [MS11].",

author = "Heike Mildenberger and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} 2021, The Hebrew University of Jerusalem.",

year = "2021",

month = apr,

doi = "10.1007/s11856-021-2124-2",

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The cofinality of the symmetric group and the cofinality of ultrapowers

Abstract

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