Vector bundles over iterated suspensions of stunted real projective spaces

Abstract

Let $X_{m,n}^k={\Sigma }^k(\mathbb{R}{\mathbb{P}}^m/\mathbb{R}{\mathbb{P}}^n)$. 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 $X_{m,n}^k$.

References in corpus (1)

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

Cited by in corpus (1)

• On trivialities of Chern classes