Amalgamation functors and homology groups in model theory
classification
🧮 math.LO
keywords
groupsamalgamationhomologyfunctorsabelianassociatedclasscompute
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We present definitions of homology groups associated to a family of amalgamation functors. We show that if the generalized amalgamation properties hold, then the homology groups are trivial. We compute the group H_2 for strong types in stable theories and show that in this context, the class of possible groups H_2 is precisely the profinite abelian groups.
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