Mutual stationarity and singular Jonsson cardinals

S. Shelah

doi:10.1007/s10474-020-01041-6

Mutual stationarity and singular Jonsson cardinals

S. Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We prove that if the sequence ⟨ k_n: 1 ≤ n< ω⟩ contains a so-calledgap then the sequence ⟨Sℵknℵn:1≤n<ω⟩of stationary sets is not mutually stationary, provided that k_n< n for every n∈ ω. We also prove a sufficient conditionfor being singular Jonsson cardinals.

Original language	English
Pages (from-to)	140-148
Number of pages	9
Journal	Acta Mathematica Hungarica
Volume	163
Issue number	1
DOIs	https://doi.org/10.1007/s10474-020-01041-6
State	Published - Feb 2021

Bibliographical note

Publisher Copyright:
© 2020, Akadémiai Kiadó, Budapest, Hungary.

Keywords

Jonsson cardinal
combinatorial set theory
mutual stationarity

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10.1007/s10474-020-01041-6

Cite this

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Mutual stationarity and singular Jonsson cardinals

Abstract

Bibliographical note

Keywords

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