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Forcing in admissible sets - MaRDI portal

Forcing in admissible sets (Q1191174)

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scientific article; zbMATH DE number 59389
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Forcing in admissible sets
scientific article; zbMATH DE number 59389

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    Forcing in admissible sets (English)
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    27 September 1992
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    An admissible set is constructed by forcing. Using this set, the author proves that a countable admissible set \(\mathbb{A}\) has no non-trivial admissible end-extension with the same urelements and ordinals iff \(\mathbb{A}=\text{HF}(X)\) for a finite \(X\).
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    admissible ordinal
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    admissible set
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    forcing
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    admissible end-extension
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    urelements
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