{ "id": "1510.02456", "version": "v1", "published": "2015-10-08T19:33:08.000Z", "updated": "2015-10-08T19:33:08.000Z", "title": "Proving homological stability for homeomorphisms of manifolds", "authors": [ "Alexander Kupers" ], "comment": "27 pages", "categories": [ "math.AT" ], "abstract": "Following the argument for diffeomorphisms by Galatius and Randal-Williams, we prove that homeomorphisms of 1-connected manifolds of even dimension at least 6 exhibit homological stability. We deduce similar results for PL homeomorphisms and homeomorphisms as a discrete group.", "revisions": [ { "version": "v1", "updated": "2015-10-08T19:33:08.000Z" } ], "analyses": { "subjects": [ "57N65", "55R40" ], "keywords": [ "proving homological stability", "deduce similar results", "pl homeomorphisms", "discrete group", "diffeomorphisms" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151002456K" } } }