On the non-existence of κ-mad families

Starting from a model with a Laver-indestructible supercompact cardinal κ , we construct a model of Z F + D C κ where there are no κ -mad families.

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Bibliographic Details
Published in:Archive for mathematical logic 2023-11, Vol.62 (7-8), p.1033-1039
Main Authors: Horowitz, Haim, Shelah, Saharon
Format: Article
Language:English
Subjects:
Algebra
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
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Description
Summary:Starting from a model with a Laver-indestructible supercompact cardinal κ , we construct a model of Z F + D C κ where there are no κ -mad families.
ISSN:0933-5846
1432-0665
DOI:10.1007/s00153-023-00874-6