Aniruddha C. Naolekar, Ajay Singh Thakur
Published 2013-07-31Version 1
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.
Chern classes and generators
On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds
Conjugation spaces and equivariant Chern classes
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