AUC Philosophica et Historica je víceoborový akademický časopis zaměřený na humanitní a společenskovědné obory (filozofie, psychologie, pedagogika, sociologie, obecné, české a hospodářské dějiny, pomocné vědy historické a archivnictví, etnologie).
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AUC PHILOSOPHICA ET HISTORICA, Vol 2017 No 2 (2017), 27–32
Preserving measurability with Cohen iterations
Radek Honzík
DOI: https://doi.org/10.14712/24647055.2017.13
zveřejněno: 14. 11. 2017
Abstract
We describe a weak version of Laver indestructibility for a μ-tall cardinal κ, μ > κ+, where “weaker” means that the indestructibility refers only to the Cohen forcing at κ of a certain length. A special case of this construction is: if μ is equal to κ+n for some 1 < n < ω, then one can get a model V∗ where κ is measurable, and its measurability is indestructible by Add(κ, α) for any 0 ≤ α ≤ κ+n (Theorem 3.3).
klíčová slova: Cohen forcing; measurability
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