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D. Donder, R. Jensen, B. Koppelberg (1981)
Some applications of the core model
K. Prikry (1970)
Changing Measurable into Accessible Cardinals
Jan Tryba (1984)
On Jónsson cardinals with uncountable cofinalityIsrael Journal of Mathematics, 49
We show that, like singular cardinals, and weakly compact cardinals, Jensen's core model K for measures of order zero [4] calculates correctly the successors of Jónsson cardinals, assuming $O^{Sword}$ does not exist. Namely, if $\kappa$ is a Jónsson cardinal then $\kappa^+ = \kappa^{+K}$ , provided that there is no non-trivial elementary embedding $j:K \longrightarrow K$ . There are a number of related results in ZFC concerning $\cal{P}(\kappa)$ in V and inner models, for $\kappa$ a Jónsson or singular cardinal.
Archive for Mathematical Logic – Springer Journals
Published: Aug 1, 2000
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