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.
Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
fields
math.LO 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering
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.