{
  "id": "2502.03051",
  "version": "v1",
  "published": "2025-02-05T10:24:23.000Z",
  "updated": "2025-02-05T10:24:23.000Z",
  "title": "Expansions and restrictions of structures and theories, their hierarchies",
  "authors": [
    "Sergey V. Sudoplatov"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We introduce and study some general principles and hierarchical properties of expansions and restrictions of structures and their theories The general approach is applied to describe these properties for classes of $\\omega$-categorical theories and structures, Ehrenfeucht theories and their models, strongly minimal, $\\omega_1$-theories, and stable ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-05T10:24:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C30",
      "03C45",
      "03C52"
    ],
    "keywords": [
      "structures",
      "expansions",
      "restrictions",
      "hierarchies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}