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Extendible cardinals and the mantle

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Abstract

The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.

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Correspondence to Toshimichi Usuba.

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This research was supported by JSPS KAKENHI grant Nos. 18K03403 and 18K03404.

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Usuba, T. Extendible cardinals and the mantle. Arch. Math. Logic 58, 71–75 (2019). https://doi.org/10.1007/s00153-018-0625-4

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  • DOI: https://doi.org/10.1007/s00153-018-0625-4

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