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ON CONSTRAINTS AND DIVIDING IN TERNARY HOMOGENEOUS STRUCTURES

ON CONSTRAINTS AND DIVIDING IN TERNARY HOMOGENEOUS STRUCTURES

Abstract Let ${\cal M}$ be ternary, homogeneous and simple. We prove that if ${\cal M}$ is finitely constrained, then it is supersimple with finite SU-rank and dependence is k -trivial for some k < ω and for finite sets of real elements. Now suppose that, in addition, ${\cal M}$ is …