{ "id": "0903.4597", "version": "v1", "published": "2009-03-26T14:42:01.000Z", "updated": "2009-03-26T14:42:01.000Z", "title": "Spaces of real polynomials with common roots", "authors": [ "Yasuhiko Kamiyama" ], "comment": "This is the version published by Geometry & Topology Monographs on 29 January 2007", "journal": "Geom. Topol. Monogr. 10 (2007) 227-235", "doi": "10.2140/gtm.2007.10.227", "categories": [ "math.AT" ], "abstract": "Let RX_{k,n}^l be the space consisting of all (n+1)-tuples (p_0(z),...,p_n(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all p_i(z). In this paper, we prove a stable splitting of RX_{k,n}^l.", "revisions": [ { "version": "v1", "updated": "2009-03-26T14:42:01.000Z" } ], "analyses": { "subjects": [ "55P15", "55P35", "58D15" ], "keywords": [ "common roots", "real polynomials", "monic polynomials" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.4597K" } } }