{ "id": "2002.11494", "version": "v1", "published": "2020-02-25T15:35:53.000Z", "updated": "2020-02-25T15:35:53.000Z", "title": "The undecidability of joint embedding for 3-dimensional permutation classes", "authors": [ "Samuel Braunfeld" ], "comment": "18 pages. arXiv admin note: substantial text overlap with arXiv:1903.11932", "categories": [ "math.LO", "math.CO" ], "abstract": "As a step towards resolving a question of Ru\\v{s}kuc on the decidability of joint embedding for hereditary classes of permutations, which may be viewed as structures in a language of 2 linear orders, we show the corresponding problem is undecidable for hereditary classes of structures in a language of 3 linear orders.", "revisions": [ { "version": "v1", "updated": "2020-02-25T15:35:53.000Z" } ], "analyses": { "keywords": [ "permutation classes", "joint embedding", "undecidability", "hereditary classes" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }