Weak covering at large cardinals

Mathematical Logic Quarterly 43 (1):22-28 (1997)
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Abstract

We show that weakly compact cardinals are the smallest large cardinals k where k+ < k+ is impossible provided 0# does not exist. We also show that if k+Kc < k+ for some k being weakly compact , then there is a transitive set M with M ⊨ ZFC + “there is a strong cardinal”

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10.1002/malq.19970430103

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Citations of this work

Games and Ramsey-like cardinals.Dan Saattrup Nielsen & Philip Welch - 2019 - Journal of Symbolic Logic 84 (1):408-437.

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References found in this work

Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Constructibility.Keith J. Devlin - 1987 - Journal of Symbolic Logic 52 (3):864-867.

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