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arxiv: 1105.2921 · v1 · pith:OOJ5NWKKnew · submitted 2011-05-15 · 🧮 math.LO

Amalgamation functors and homology groups in model theory

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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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