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Homology Groups of Types in Model Theory and the Computation of H 2(p)

Published online by Cambridge University Press:  12 March 2014

John Goodrick
Affiliation:
Department of Mathematics, Universidad de Los Andes, Bogotá, Colombia, E-mail: jr.goodrick427@uniandes.edu.co
Byunghan Kim
Affiliation:
Department of Mathematics, Yonsei University, 134 Shinchon-Dong, Seodaemun-Gu, Seoul 120-749, South Korea, E-mail: bkim@yonsei.ac.kr
Alexei Kolesnikov
Affiliation:
Department of Mathematics, Towson University, Towson, MD 21252, USA, E-mail: akolesnikov@towson.edu

Abstract

We present definitions of homology groups Hn (p), n ≥ 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).

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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