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- W2059407897 abstract "Abstract We consider the following question of Kunen: Does Con ( ZFC + ∃ M a transitive inner model and a non-trivial elementary embedding j : M → V ) imply Con ( ZFC + ∃ a measurable cardinal)? We use core model theory to investigate consequences of the existence of such a j : M → V . We prove, amongst other things, the existence of such an embedding implies that the core model K is a model of “there exists a proper class of almost Ramsey cardinals”. Conversely, if On is Ramsey, then such a j . M are definable. We construe this as a negative answer to the question above. We consider further the consequences of strengthening the closure assumption on j to having various classes of fixed points." @default.
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- W2059407897 date "2001-09-01" @default.
- W2059407897 modified "2023-09-26" @default.
- W2059407897 title "On elementary embeddings from an inner model to the universe" @default.
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- W2059407897 doi "https://doi.org/10.2307/2695094" @default.
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