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- W1966560915 abstract "Assume $V = L$. Let $kappa$ be a regular cardinal and for $X subseteq kappa$ let $alpha (X)$ denote the least ordinal $alpha$ such that ${L_alpha }[X]$ is admissible. In this paper we characterize those ordinals of the form $alpha (X)$ using forcing and fine structure of $L$ techniques. This generalizes a theorem of Sacks which deals with the case $kappa = omega$." @default.
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- W1966560915 date "1982-01-01" @default.
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- W1966560915 title "Uncountable admissibles. I. Forcing" @default.
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- W1966560915 doi "https://doi.org/10.1090/s0002-9947-1982-0642330-8" @default.
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