Amalgamation functors and homology groups in model theory

Details Amalgamation functors and homology groups in model theory Amalgamation functors and homology groups in model theory

2011-05-15

arxiv.org/abs/1105.2921v1

Mathematics

Logic

64 pages

Scientific paper

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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