{ "id": "1807.10976", "version": "v1", "published": "2018-07-28T20:35:56.000Z", "updated": "2018-07-28T20:35:56.000Z", "title": "A combinatorial proof of the extension property for partial isometries", "authors": [ "Jan Hubička", "Matěj Konečný", "Jaroslav Nešetřil" ], "comment": "7 pages, 1 figure", "categories": [ "math.CO", "cs.DM", "math.LO" ], "abstract": "We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.", "revisions": [ { "version": "v1", "updated": "2018-07-28T20:35:56.000Z" } ], "analyses": { "subjects": [ "20B27", "05E18", "54E35", "20F05", "22F50", "37B05", "G.2.2", "F.4.1" ], "keywords": [ "partial isometries", "extension property", "combinatorial proof", "finite metric spaces" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }