{ "id": "math/0109057", "version": "v3", "published": "2001-09-09T17:21:52.000Z", "updated": "2015-12-07T15:19:11.000Z", "title": "Multicomplexes, bounded cohomology and additivity of simplicial volume", "authors": [ "Thilo Kuessner" ], "comment": "B. Korean Math. Soc. 2015, Vol. 52, No. 6, 1855-1899", "journal": "B. Korean Math. Soc. 2015, Vol. 52, No. 6, 1855-1899", "categories": [ "math.AT", "math.GT" ], "abstract": "We discuss some additivity properties of the simplicial volume for manifolds with boundary: we give proofs of additivity for glueing amenable boundary components and of superadditivity for glueing amenable submanifolds of the boundary, and we discuss doubling of 3-manifolds.", "revisions": [ { "version": "v2", "updated": "2003-03-19T14:01:32.000Z", "comment": "36 pages", "journal": null, "doi": null }, { "version": "v3", "updated": "2015-12-07T15:19:11.000Z" } ], "analyses": { "subjects": [ "57N65" ], "keywords": [ "simplicial volume", "bounded cohomology", "multicomplexes", "additivity properties", "glueing amenable boundary components" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......9057K" } } }