{ "id": "1011.4145", "version": "v1", "published": "2010-11-18T07:12:28.000Z", "updated": "2010-11-18T07:12:28.000Z", "title": "A short and elementary proof of Hanner's theorem", "authors": [ "Aasa Feragen" ], "comment": "2 pages", "categories": [ "math.GN", "math.GT" ], "abstract": "Hanner's theorem is a classical theorem in the theory of retracts and extensors in topological spaces, which states that a local ANE is an ANE. While Hanner's original proof of the theorem is quite simple for separable spaces, it is rather involved for the general case. We provide a proof which is not only short, but also elementary, relying only on well-known classical point-set topology.", "revisions": [ { "version": "v1", "updated": "2010-11-18T07:12:28.000Z" } ], "analyses": { "subjects": [ "54C55", "55M15", "54C20" ], "keywords": [ "hanners theorem", "elementary proof", "well-known classical point-set topology", "hanners original proof", "quite simple" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.4145F" } } }