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  1. On successors of Jónsson cardinals.J. Vickers & P. D. Welch - 2000 - Archive for Mathematical Logic 39 (6):465-473.
    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.
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  • On a Chang Conjecture. II.Ralf-Dieter Schindler - 1998 - Archive for Mathematical Logic 37 (4):215-220.
    Continuing [7], we here prove that the Chang Conjecture $(\aleph_3,\aleph_2) \Rightarrow (\aleph_2,\aleph_1)$ together with the Continuum Hypothesis, $2^{\aleph_0} = \aleph_1$ , implies that there is an inner model in which the Mitchell ordering is $\geq \kappa^{+\omega}$ for some ordinal $\kappa$.
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  • Adding closed cofinal sequences to large cardinals.Lon Berk Radin - 1982 - Annals of Mathematical Logic 22 (3):243.
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  • Large cardinals and definable counterexamples to the continuum hypothesis.Matthew Foreman & Menachem Magidor - 1995 - Annals of Pure and Applied Logic 76 (1):47-97.
    In this paper we consider whether L(R) has “enough information” to contain a counterexample to the continuum hypothesis. We believe this question provides deep insight into the difficulties surrounding the continuum hypothesis. We show sufficient conditions for L(R) not to contain such a counterexample. Along the way we establish many results about nonstationary towers, non-reflecting stationary sets, generalizations of proper and semiproper forcing and Chang's conjecture.
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  • On the consistency strength of ‘Accessible’ Jonsson Cardinals and of the Weak Chang Conjecture.Hans-Dieter Donder & Peter Koepke - 1983 - Annals of Pure and Applied Logic 25 (3):233-261.
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  • Covering theorems for the core model, and an application to stationary set reflection.Sean Cox - 2010 - Annals of Pure and Applied Logic 161 (1):66-93.
    We prove covering theorems for K, where K is the core model below the sharp for a strong cardinal, and give an application to stationary set reflection.
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