On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds

Autor: Thakur, Ajay Singh
Rok vydání: 2012
Předmět:
Zdroj: Homology, Homotopy and Applications, Vol. 15 (2013), No. 1, pp.223-233
Druh dokumentu: Working Paper
DOI: 10.4310/HHA.2013.v15.n1.a11
Popis: 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.
Comment: 10 pages
Databáze: arXiv