English

The seed order

Logic 2018-10-11 v1

Abstract

We study various orders on countably complete ultrafilters on ordinals that coincide and are wellorders under a hypothesis called the Ultrapower Axiom. Our main focus is on the relationship between the Ultrapower Axiom and the linearity of these orders.

Keywords

Cite

@article{arxiv.1810.04284,
  title  = {The seed order},
  author = {Gabriel Goldberg},
  journal= {arXiv preprint arXiv:1810.04284},
  year   = {2018}
}
R2 v1 2026-06-23T04:34:13.053Z