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THE GALVIN PROPERTY UNDER THE ULTRAPOWER AXIOM

THE GALVIN PROPERTY UNDER THE ULTRAPOWER AXIOM

Abstract We continue the study of the Galvin property from Benhamou, Garti, and Shelah (2023, Proceedings of the American Mathematical Society 151, 1301–1309) and Benhamou (2023, Saturation properties in canonical inner models , submitted). In particular, we deepen the connection between certain diamond-like principles and non-Galvin ultrafilters. We also show …