Model Theory of Homogeneous D-Sets
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 are monadically NIP.
Fields of Study & Subjects
Rough Sets and Fuzzy Logic
Data Management and Algorithms
Publication details
- Journal / source
- Notre Dame Journal of Formal Logic
- Publisher
- Duke University Press
- Volume
- 67
- Issue
- 2
- Pages
- 255-289
- Publication date
- 1 May 2026
- Language
- EN