{ "id": "1901.02837", "version": "v1", "published": "2019-01-09T17:18:49.000Z", "updated": "2019-01-09T17:18:49.000Z", "title": "A global bound for the singular set of area-minimizing hypersurfaces", "authors": [ "Nick Edelen" ], "categories": [ "math.DG", "math.AP" ], "abstract": "We give an a priori bound on the (n-7)-dimensional measure of the singular set for an area-minimizing n-dimensional hypersurface, in terms of the geometry of its boundary.", "revisions": [ { "version": "v1", "updated": "2019-01-09T17:18:49.000Z" } ], "analyses": { "keywords": [ "singular set", "global bound", "area-minimizing hypersurfaces", "priori bound" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }