Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\) (Q1128190)

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scientific article; zbMATH DE number 1187527
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Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
scientific article; zbMATH DE number 1187527

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    Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\) (English)
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    27 October 1998
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    The author investigates \(\Pi^1_1\)-indescribability of subsets of \(P_\kappa\lambda\). He describes a combinatorial property which is equivalent to \(\Pi^1_1\)-indescribability and does not depend on the cofinality of \(\lambda\). Further on he studies the relations between \(\Pi^1_1\)-indescribability and supercompactness.
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    \(\Pi^1_1\)-indescribability
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    supercompactness
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