Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amalgamation functors and homology groups in model theory   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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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat