Vector bundles over iterated suspensions of stunted real projective spaces
Aniruddha C. Naolekar, Ajay Singh Thakur

TL;DR
This paper characterizes when the total Stiefel-Whitney class is trivial for vector bundles over iterated suspensions of stunted real projective spaces, providing a complete classification based on parameters k, m, n.
Contribution
It completely determines the conditions on k, m, n under which the total Stiefel-Whitney class equals one for all vector bundles over these spaces.
Findings
Identifies all (k,m,n) where w(ξ)=1 for any vector bundle ξ.
Provides a classification of vector bundles with trivial Stiefel-Whitney classes over these spaces.
Enhances understanding of vector bundle topology over iterated suspensions of stunted real projective spaces.
Abstract
Let . In this note we completely determine the values of for which the total Stiefel-Whitney class for any vector bundle over .
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