On cuts in ultraproducts of linear orders I

Mohammad Golshani; Saharon Shelah

On cuts in ultraproducts of linear orders I

Logic 2016-09-20 v3

Authors: Mohammad Golshani , Saharon Shelah

Abstract

For an ultrafilter $D$ on a cardinal $\kappa,$ we wonder for which pair $(\theta_1, \theta_2)$ of regular cardinals, we have: for any $(\theta_1+\theta_2)^+-$ saturated dense linear order $J, J^{\kappa}/ D$ has a cut of cofinality $(\theta_1, \theta_2).$ We deal mainly with the case $\theta_1, \theta_2 > 2^\kappa.$

Keywords

ultraproducts linear orders cuts saturated linear orders cofinality ultrafilter

Cite

@article{arxiv.1510.06278,
  title  = {On cuts in ultraproducts of linear orders I},
  author = {Mohammad Golshani and Saharon Shelah},
  journal= {arXiv preprint arXiv:1510.06278},
  year   = {2016}
}

Comments

This is publication 1075 of second author

Related papers

View all related →