{ "id": "2309.02070", "version": "v2", "published": "2023-09-05T09:16:11.000Z", "updated": "2023-12-03T09:37:57.000Z", "title": "Why CAT(0) cube complexes should be replaced with median graphs", "authors": [ "Anthony Genevois" ], "comment": "10 pages. Comments are welcome!", "categories": [ "math.GR", "math.MG" ], "abstract": "In this note, we discuss and motivate the use of the terminology ``median graphs'' in place of ``CAT(0) cube complexes'' in geometric group theory.", "revisions": [ { "version": "v2", "updated": "2023-12-03T09:37:57.000Z" } ], "analyses": { "subjects": [ "20F65", "20F67" ], "keywords": [ "cube complexes", "median graphs", "geometric group theory", "terminology" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }