Amalgamation functors and homology groups in model theory

John Goodrick; Byunghan Kim; Alexei Kolesnikov

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arXiv · 1105.2921

Amalgamation functors and homology groups in model theory

John Goodrick·Byunghan Kim·Alexei Kolesnikov

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Abstract

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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BibTeX RIS

John Goodrick, Byunghan Kim, Alexei Kolesnikov. 2011-05-15. Amalgamation functors and homology groups in model theory. https://arxiv.org/abs/1105.2921

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