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arXiv · 2502.09881

Model Theory of Homogeneous D-sets

Felipe Estrada·John Goodrick
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Abstract

We explore several model-theoretic aspects of D-sets, which were studied in detail by Adeleke and Neumann. We characterize ultrahomogeneity in the class of colored D-sets and classify unbounded order-indiscernible sequences in such structures. We use these results to provide a characterization of distal colored D-sets and prove that all colored D-sets with quantifier elimination are dp-minimal.

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Felipe Estrada, John Goodrick. 2025-02-26. Model Theory of Homogeneous D-sets. https://arxiv.org/abs/2502.09881

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