On the non-existence of $$\kappa $$-mad families

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Archive for Mathematical Logic 62 (7):1033-1039 (2023)
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Abstract

Starting from a model with a Laver-indestructible supercompact cardinal $$\kappa $$, we construct a model of $$ZF+DC_{\kappa }$$ where there are no $$\kappa $$ -mad families.

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10.1007/s00153-023-00874-6

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Happy families.A. R. D. Mathias - 1977 - Annals of Mathematical Logic 12 (1):59.

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