Journal
ARCHIVE FOR MATHEMATICAL LOGIC
Volume 62, Issue 7-8, Pages 1033-1039Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00153-023-00874-6
Keywords
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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