{ "id": "1304.6797", "version": "v2", "published": "2013-04-25T04:38:47.000Z", "updated": "2015-04-13T12:29:55.000Z", "title": "Limit Models in Metric Abstract Elementary Classes: the Categorical case", "authors": [ "Andrés Villaveces", "Pedro Zambrano" ], "comment": "25 pages, 5 figures", "categories": [ "math.LO" ], "abstract": "We study versions of limit models adapted to the context of *metric abstract elementary classes*. Under categoricity and superstability-like assumptions, we generalize some theorems from [GrVaVi]. We prove criteria for existence and uniqueness of limit models in the metric context.", "revisions": [ { "version": "v1", "updated": "2013-04-25T04:38:47.000Z", "comment": "18 pages, 5 figures", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-04-13T12:29:55.000Z" } ], "analyses": { "subjects": [ "03C45", "03C48", "03C52" ], "keywords": [ "metric abstract elementary classes", "categorical case", "metric context", "study versions", "categoricity" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1304.6797V" } } }