Journal of Symbolic Logic

Homology groups of types in model theory and the computation of $H_2(p)$

John Goodrick, Byunghan Kim, and Alexei Kolesnikov

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We present definitions of homology groups $H_n(p)$, $n\ge 0$, associated to a complete type $p$. We show that if the generalized amalgamation properties hold, then the homology groups are trivial. We compute the group $H_2(p)$ for strong types in stable theories and show that any profinite abelian group can occur as the group $H_2(p)$.

Article information

J. Symbolic Logic Volume 78, Issue 4 (2013), 1086-1114.

First available in Project Euclid: 5 January 2014

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Zentralblatt MATH identifier

Amalgamation functors groupoids homology groups model theory strong types in stable theories


Goodrick, John; Kim, Byunghan; Kolesnikov, Alexei. Homology groups of types in model theory and the computation of $H_2(p)$. J. Symbolic Logic 78 (2013), no. 4, 1086--1114. doi:10.2178/jsl.7804040.

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