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arXiv · 1511.02379

A remark on strict independence relations

Gabriel Conant
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Abstract

We prove that if $T$ is a complete theory with weak elimination of imaginaries, then there is an explicit bijection between strict independence relations for $T$ and strict independence relations for $T^{\text{eq}}$. We use this observation to show that if $T$ is the theory of the Fraïssé limit of finite metric spaces with integer distances, then $T^{\text{eq}}$ has more than one strict independence relation. This answers a question of Adler [1, Question 1.7].

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Gabriel Conant. 2016-03-02. A remark on strict independence relations. https://doi.org/10.1007/s00153-016-0479-6

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