On special partial types and weak canonical bases in simple theories

2013/11/13 by Ziv Shami, Shami, Ziv
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1311.3058

arxiv created 2013/11/13 · arxiv updated 2013/11/14

Abstract

We define a notion of a weak canonical base for a partial type. This notion is weaker than the usual canonical base for an amalgamation base. We prove that certain family of partial types have a weak canonical base. This family clearly contains the class of amalgamation bases.

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