# Sh:710

• Džamonja, M., & Shelah, S. (2006). On properties of theories which preclude the existence of universal models. Ann. Pure Appl. Logic, 139(1-3), 280–302.
• Abstract:
In this paper we investigate some properties of first order theories which prevent them from having universal models under certain cardinal assumptions. Our results give a new syntactical condition, oak property, which is a sufficient condition for a theory not to have universal models in cardinality \lambda when certain cardinal arithmetic assumptions implying the failure of GCH (and close to the failure of SCH) hold.
• Version 2005-05-26_11 (36p) published version (23p)
Bib entry
@article{Sh:710,
author = {D{\v{z}}amonja, Mirna and Shelah, Saharon},
title = {{On properties of theories which preclude the existence of universal models}},
journal = {Ann. Pure Appl. Logic},
fjournal = {Annals of Pure and Applied Logic},
volume = {139},
number = {1-3},
year = {2006},
pages = {280--302},
issn = {0168-0072},
mrnumber = {2206258},
mrclass = {03C55 (03C45 03C50 03E04)},
doi = {10.1016/j.apal.2005.06.001},
note = {\href{https://arxiv.org/abs/math/0009078}{arXiv: math/0009078}},
arxiv_number = {math/0009078}
}