On trivialities of Chern classes

Abstract

A finite $CW$-complex $X$ is $C$-trivial if for every complex vector bundle $\xi$ over $X$, the total Chern class $c(\xi )=1$. In this note we completely determine when each of the following spaces are $C$-trivial: suspensions of stunted real projective spaces, suspensions of stunted complex projective spaces and suspensions of stunted quaternionic projective spaces.

11 Pages

References in corpus (2)

• Vector bundles over iterated suspensions of stunted real projective spaces
• On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds