{ "id": "1209.2261", "version": "v1", "published": "2012-09-11T09:03:43.000Z", "updated": "2012-09-11T09:03:43.000Z", "title": "On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds", "authors": [ "Ajay Singh Thakur" ], "comment": "10 pages", "journal": "Homology, Homotopy and Applications, Vol. 15 (2013), No. 1, pp.223-233", "doi": "10.4310/HHA.2013.v15.n1.a11", "categories": [ "math.AT" ], "abstract": "A space $X$ is called $W$-trivial if for every vector bundle $\\xi$ over $X$, the total Stiefel-Whitney class $W(\\xi)= 1$. In this article we shall investigate whether the suspensions of Dold manifolds, $\\s^k D(m,n)$, is $W$-trivial or not.", "revisions": [ { "version": "v1", "updated": "2012-09-11T09:03:43.000Z" } ], "analyses": { "subjects": [ "57R20", "55R40", "57R22" ], "keywords": [ "dold manifolds", "vector bundle", "stiefel-whitney classes", "iterated suspensions", "trivialities" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.2261S" } } }