We sort out to a large extent when a (first order complete theory) T has a superlimit model in a cardinal λ. Also we deal with related notions of being limit.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-4,
author = {Saharon Shelah},
title = {When a first order T has limit models},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {187-204},
zbl = {1260.03067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-4}
}
Saharon Shelah. When a first order T has limit models. Colloquium Mathematicae, Tome 126 (2012) pp. 187-204. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-4/