Simple-like independence relations in abstract elementary classes

2020/03/05 by Grossberg, Rami, Mazari-Armida, Marcos
#03C45 #03C48 #03C55 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2003.02705

Abstract

We introduce and study simple and supersimple independence relations in the context of AECs with a monster model. Theorem: Let K be an AEC with a monster model. - If K has a simple independence relation, then K does not have the 2-tree property. - If K has a simple independence relation with (

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