Abstract
We study the Generalized Kurepa hypothesis introduced by Chang. We show that relative to the existence of an inaccessible cardinal the Gap-n-Kurepa hypothesis does not follow from the Gap-m-Kurepa hypothesis for m different from n. The use of an inaccessible is necessary for this result.
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Friedman, SD., Golshani, M. Independence of higher Kurepa hypotheses. Arch. Math. Logic 51, 621–633 (2012). https://doi.org/10.1007/s00153-012-0286-7
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DOI: https://doi.org/10.1007/s00153-012-0286-7