Homology, Homotopy and Applications

Volume 15 (2013)

Number 1

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

Pages: 223 – 233

DOI: http://dx.doi.org/10.4310/HHA.2013.v15.n1.a11

Author

Ajay Singh Thakur (School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India)

Abstract

A space $X$ is called $W$-trivial if for every vector bundle $ξ$ over $X$, the total Stiefel-Whitney class $W(ξ) = 1$. In this article we shall investigate whether the suspensions $Σ^k D(m,n)$ of Dold manifolds are $W$-trivial or not.

Keywords

Stiefel-Whitney class, Dold manifold, suspension, $K$-theory

2010 Mathematics Subject Classification

55R40, 57R20, 57R22

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