English

On the prewellordering associated to the dircted systems of mice

Logic 2013-01-22 v1

Abstract

Working under ADAD, we investigate the length of prewellorderings given by the iterates of \M2k+1\M_{2k+1}, which is the minimal proper class mouse with 2k+12k+1 many Woodin cardinals. In particular, we answer some questions from \cite{Hjorth01} (the discussion of the questions appears in the last section of \cite{HjorthD}).

Keywords

Cite

@article{arxiv.1301.4925,
  title  = {On the prewellordering associated to the dircted systems of mice},
  author = {Grigor Sargsyan},
  journal= {arXiv preprint arXiv:1301.4925},
  year   = {2013}
}