{ "id": "2008.06878", "version": "v1", "published": "2020-08-16T10:42:01.000Z", "updated": "2020-08-16T10:42:01.000Z", "title": "Surreal numbers, exponentiation and derivations", "authors": [ "Alessandro Berarducci" ], "categories": [ "math.LO" ], "abstract": "We give a presentation of Conway's surreal numbers focusing on the connections with transseries and Hardy fields and trying to simplify when possible the existing treatments.", "revisions": [ { "version": "v1", "updated": "2020-08-16T10:42:01.000Z" } ], "analyses": { "subjects": [ "03C64", "03E10", "16W60", "26A12", "41A58" ], "keywords": [ "exponentiation", "derivations", "hardy fields", "presentation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }