English

Independence of higher Kurepa hypotheses

Logic 2015-10-13 v1

Abstract

We study the Generalized Kurepa Hypothesis introduced by Chang. We show that relative to the existence of an inaccessible cardinal the Gap-nn-Kurepa hypothesis does not follow from the Gap-mm-Kurepa hypothesis for mm different from nn. The use of an inaccessible is necessary for this result.

Keywords

Cite

@article{arxiv.1510.02932,
  title  = {Independence of higher Kurepa hypotheses},
  author = {Sy David Friedman and Mohammad Golshani},
  journal= {arXiv preprint arXiv:1510.02932},
  year   = {2015}
}