{ "id": "math/0410011", "version": "v1", "published": "2004-10-01T11:14:42.000Z", "updated": "2004-10-01T11:14:42.000Z", "title": "A Lipschitz map $f: \\mathcal{C} \\to H$ for the Hadamard space $H$. Sketch of the construction", "authors": [ "P. N. Ivanshin" ], "comment": "Brief note", "categories": [ "math.MG" ], "abstract": "We introduce the sketch of construction of a Lipschitz function $f: \\mathcal{C} \\to H$, here the set $\\mathcal{C}$ consists of all compact convex subsets of the Hadamard space $H$. Note that $f(\\{x\\})=\\{x\\}$ for any point $x \\in H$.", "revisions": [ { "version": "v1", "updated": "2004-10-01T11:14:42.000Z" } ], "analyses": { "subjects": [ "51F99" ], "keywords": [ "hadamard space", "lipschitz map", "construction", "compact convex subsets" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....10011I" } } }