English

The tree property at successors of singular cardinals

Logic 2009-09-25 v1

Abstract

Assuming some large cardinals, a model of ZFC is obtained in which aleph_{omega+1} carries no Aronszajn trees. It is also shown that if lambda is a singular limit of strongly compact cardinals, then lambda^+ carries no Aronszajn trees.

Keywords

Cite

@article{arxiv.math/9501220,
  title  = {The tree property at successors of singular cardinals},
  author = {Menachem Magidor and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9501220},
  year   = {2009}
}