{ "id": "1211.5274", "version": "v1", "published": "2012-11-22T12:50:16.000Z", "updated": "2012-11-22T12:50:16.000Z", "title": "Vector bundles over iterated suspensions of stunted real projective spaces", "authors": [ "Aniruddha C. Naolekar", "Ajay Singh Thakur" ], "journal": "Acta Math. Hungar., 142 (2) (2014), 339-347", "doi": "10.1007/s10474-013-0343-7", "categories": [ "math.AT" ], "abstract": "Let $X^k_{m,n}=\\Sigma^k (\\mathbb R\\mathbb P^m/\\mathbb R\\mathbb P^n)$. In this note we completely determine the values of $k,m,n$ for which the total Stiefel-Whitney class $w(\\xi)=1$ for any vector bundle $\\xi$ over $X^k_{m,n}$.", "revisions": [ { "version": "v1", "updated": "2012-11-22T12:50:16.000Z" } ], "analyses": { "subjects": [ "57R20", "55R40", "57R22" ], "keywords": [ "stunted real projective spaces", "vector bundle", "iterated suspensions", "total stiefel-whitney class" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.5274N" } } }