Abstract.
It is shown how certain generic extensions of a fine structural model in the sense of Mitchell and Steel [MiSt] can be reorganized as relativizations of the model to the generic object. This is then applied to the construction of Steel's core model for one Woodin cardinal [St] and its generalizations.
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Received: 28 March 1997
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Hauser, K. Generic relativizations of fine structure. Arch Math Logic 39, 227–251 (2000). https://doi.org/10.1007/s001530050145
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DOI: https://doi.org/10.1007/s001530050145