TL;DR
This paper explores d-minimal structures and their dense pairs, extending the concept of o-minimality to broader classes of ordered fields and their expansions.
Contribution
It introduces and analyzes the properties of d-minimal structures and their dense pairs, generalizing o-minimality concepts.
Findings
Characterization of d-minimal expansions
Analysis of dense pairs in d-minimal structures
Extensions of o-minimality concepts
Abstract
We study d-minimal expansions of ordered fields, and dense pairs thereof. We also consider other generalizations of o-minimality.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Fuzzy and Soft Set Theory