We define the notion of a weak canonical base for a partial type in a simple theory. We prove that members of a certain family of partial types, which we call special partial types, admit a weak canonical base; this family properly contains the family of amalgamation bases.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm220-1-1,
author = {Ziv Shami},
title = {On special partial types and weak canonical bases in simple theories},
journal = {Fundamenta Mathematicae},
volume = {220},
year = {2013},
pages = {1-6},
zbl = {1277.03033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm220-1-1}
}
Ziv Shami. On special partial types and weak canonical bases in simple theories. Fundamenta Mathematicae, Tome 220 (2013) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm220-1-1/