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/