2 citations · 3 across the 3 of their papers we have counts for
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math.LO2022
Topological properties of definable sets in ordered Abelian groups of burden 2
Alfred Dolich, John Goodrick
We obtain some new results on the topology of unary definable sets in densely ordered Abelian groups of burden groups of burden 2. In the special case in which the structure has dp…
math.LO2014★ 2 cited
Type-amalgamation properties and polygroupoids in stable theories
John Goodrick, Byunghan Kim, Alexei Kolesnikov
We show that in a stable first-order theory, the failure of higher-dimensional type amalgamation can always be witnessed by algebraic structures which we call n-ary polygroupoids.…
math.LO2010★ 1 cited
Amalgamation functors and boundary properties in simple theories
John Goodrick, Byunghan Kim, Alexei Kolesnikov
This paper continues the study of generalized amalgamation properties. Part of the paper provides a finer analysis of the groupoids that arise from failure of 3-uniqueness in a sta…