English

Continuous logic and the strict order property

Logic 2019-05-03 v3 Functional Analysis

Abstract

We generalize a theory of Shelah for continuous logic, namely a continuous theory has OP if and only if it has IP or SOP.

Cite

@article{arxiv.1902.05229,
  title  = {Continuous logic and the strict order property},
  author = {Karim Khanaki},
  journal= {arXiv preprint arXiv:1902.05229},
  year   = {2019}
}

Comments

In this new version the title has been changed. This version is just about continuous logic, and the classical case is in another article entitled "Dividing lines in unstable theories and subclasses of Baire 1 functions"

R2 v1 2026-06-23T07:40:39.914Z