Fixed points for the jump operator (Q694226)

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scientific article; zbMATH DE number 6115015
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Fixed points for the jump operator
scientific article; zbMATH DE number 6115015

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    Fixed points for the jump operator (English)
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    11 December 2012
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    The major result in the paper under review is that there is a countable admissible set \(A\) so that \(J(A)\) is \(\Sigma\)-bi-embedabble with \(A\), where \(J(A)=HF(\text{Dom}(A),U)\) and \(U\) is a universal \(\Sigma\)-predicate on \(A\).
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    KPU-structure
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    admissible set
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    constructive representation
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    recursively saturated structure
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    fixed point
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    jump
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    hereditarily finite superstructures
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    natural ordinals
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