Abstract.
From a proper class of supercompact cardinals, we force and obtain a model in which the proper classes of strongly compact and strong cardinals precisely coincide. In this model, it is the case that no strongly compact cardinal \(\kappa\) is \(2^\kappa = \kappa^+\) supercompact.
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Received: 16 December 1998 / Revised version: 29 March 1999
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Apter, A., Cummings, J. Identity crises and strong compactness . Arch Math Logic 40, 25–38 (2001). https://doi.org/10.1007/s001530050172
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DOI: https://doi.org/10.1007/s001530050172