Salvato in:
Dettagli Bibliografici
Autori principali: Benhamou, Tom, Garti, Shimon, Poveda, Alejandro
Natura: Preprint
Pubblicazione: 2021
Soggetti:
Accesso online:https://arxiv.org/abs/2112.13373
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Sommario:
  • We prove that Galvin's property consistently fails at successors of strong limit singular cardinals. We also prove the consistency of this property failing at every successor of a singular cardinal. In addition, the paper analyzes the effect of Prikry-type forcings on the strong failure of the Galvin property and explores stronger forms of this property in the context of large cardinals