{ "id": "1708.03896", "version": "v1", "published": "2017-08-13T12:19:38.000Z", "updated": "2017-08-13T12:19:38.000Z", "title": "The Choice Property in tame expansions of o-minimal structures", "authors": [ "Pantelis E. Eleftheriou", "Ayhan Günaydın", "Philipp Hieronymi" ], "categories": [ "math.LO" ], "abstract": "We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o-minimal structures. Most noteworthily, dense pairs of real closed fields have this property.", "revisions": [ { "version": "v1", "updated": "2017-08-13T12:19:38.000Z" } ], "analyses": { "subjects": [ "03C64" ], "keywords": [ "tame expansions", "o-minimal structures", "choice property", "real closed fields" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }