{ "id": "2010.12782", "version": "v1", "published": "2020-10-24T04:55:13.000Z", "updated": "2020-10-24T04:55:13.000Z", "title": "Groups definable in o-minimal structures: various properties and a diagram", "authors": [ "Annalisa Conversano" ], "comment": "15 pages", "categories": [ "math.LO", "math.GR" ], "abstract": "We present a diagram surveying equivalence or strict implication for properties of different nature (algebraic, model theoretic, topological, etc.) about groups definable in o-minimal structures. All results are well-known and an extensive bibliography is provided.", "revisions": [ { "version": "v1", "updated": "2020-10-24T04:55:13.000Z" } ], "analyses": { "subjects": [ "03C64", "22E99" ], "keywords": [ "o-minimal structures", "groups definable", "properties", "diagram surveying equivalence", "strict implication" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }