Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities

Dominik Adolf; Sean Cox; Philip D Welch

doi:10.1007/s11856-018-1771-4

Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities

Dominik Adolf, Sean Cox, Philip D Welch

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We prove that the upper bounds for the consistency strength of certain instances of mutual stationarity considered by Liu–Shelah in 1997 are close to optimal. We also consider some related and, as it turns out, stronger properties.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	228
Issue number	1
Early online date	8 Sept 2018
DOIs	https://doi.org/10.1007/s11856-018-1771-4
Publication status	Published - Oct 2018

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Professor Philip D Welch
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- School of Mathematics - Professor of Pure Mathematics
- Pure Mathematics
- Set Theory and Logic
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title = "Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities",

abstract = "We prove that the upper bounds for the consistency strength of certain instances of mutual stationarity considered by Liu–Shelah in 1997 are close to optimal. We also consider some related and, as it turns out, stronger properties.",

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AU - Cox, Sean

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DO - 10.1007/s11856-018-1771-4

M3 - Article (Academic Journal)

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JF - Israel Journal of Mathematics

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Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities

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