3.9 Article

On the non-existence of ?-mad families

期刊

ARCHIVE FOR MATHEMATICAL LOGIC
卷 62, 期 7-8, 页码 1033-1039

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SPRINGER HEIDELBERG
DOI: 10.1007/s00153-023-00874-6

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Generalized descriptive set theory; Mad families; Supercompact cardinals

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Using a model with a Laver-indestructible supercompact cardinal ?, we establish a model of Z F + DC? in which there are no ?-mad families.
Starting from a model with a Laver-indestructible supercompact cardinal ?, we construct a model of Z F + DC? where there are no ?-mad families.

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