Model Theory of Homogeneous D-sets
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913709603946496 |
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| author | Estrada, Felipe Goodrick, John |
| author_facet | Estrada, Felipe Goodrick, John |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09881 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Model Theory of Homogeneous D-sets Estrada, Felipe Goodrick, John Logic 03C45 (Primary), 03C07, 03C15 (Secondary) 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. |
| title | Model Theory of Homogeneous D-sets |
| topic | Logic 03C45 (Primary), 03C07, 03C15 (Secondary) |
| url | https://arxiv.org/abs/2502.09881 |