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Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities

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arxiv 1607.04790 v1 pith:HI4MIIYZ submitted 2016-07-16 math.LO

Dominik Adolf , Sean Cox , Philip Welch This is my paper · ORCID
classification math.LO
keywords boundsconsistencymutualstationaritycertainciteclosecofinalities
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We prove that the upper bounds for the consistency strength of certain instances of mutual stationarity considered by Liu-Shelah~\cite{MR1469093} are close to optimal. We also consider some related and, as it turns out, stronger properties.

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  1. Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering

    math.LO 2019-08 unverdicted novelty 6.0 of 10

    A Jónsson cardinal κ below ℵ_κ yields 0¶ (the sharp for a strong cardinal), and mutual stationarity with mixed recurring cofinalities yields many high-Mitchell-order cardinals in the core model.

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