English

The structure of the Mitchell order - I

Logic 2015-08-18 v3

Abstract

We isolate here a wide class of well founded orders called tame orders and show that each such order of cardinality at most κ\kappa can be realized as the Mitchell order on a measurable cardinal κ\kappa, from a consistency assumption weaker than o(κ)=κ+o(\kappa) = \kappa^+.

Keywords

Cite

@article{arxiv.1408.3613,
  title  = {The structure of the Mitchell order - I},
  author = {Omer Ben-Neria},
  journal= {arXiv preprint arXiv:1408.3613},
  year   = {2015}
}
R2 v1 2026-06-22T05:30:21.150Z