Chains of end elementary extensions of models of set theory

Journal of Symbolic Logic 63 (3):1116-1136 (1998)
Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large cardinals obtained in this fashion (`unfoldable cardinals') lie in the boundary of the propositions consistent with `V = L' and the existence of 0 ♯ . We also provide an `embedding characterisation' of the unfoldable cardinals and study their preservation and destruction by various forcing constructions.
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DOI 10.2307/2586730
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Jason Aaron Schanker (2013). Partial Near Supercompactness. Annals of Pure and Applied Logic 164 (2):67-85.

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