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math.LO1999
Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata
Arthur W. Apter, Joel David Hamkins
We show that if the weak compactness of a cardinal is made indestructible by means of any preparatory forcing of a certain general type, including any forcing naively resembling th…
math.LO1999
Patterns of Compact Cardinals
Arthur W. Apter
We show relative to strong hypotheses that patterns of compact cardinals in the universe, where a compact cardinal is one which is either strongly compact or supercompact, can be v…