Homology, Homotopy and Applications

Oin trivialities of Steifel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds

Ajay Singh Thakur

Full-text: Open access

Abstract

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

Article information

Source
Homology Homotopy Appl., Volume 15, Number 1 (2013), 223-233.

Dates
First available in Project Euclid: 8 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.hha/1383943675

Mathematical Reviews number (MathSciNet)
MR3079205

Zentralblatt MATH identifier
1270.57069

Subjects
Primary: 57R20: Characteristic classes and numbers 55R40: Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20] 57R22: Topology of vector bundles and fiber bundles [See also 55Rxx]

Keywords
Stiefel-Whitney class Dold manifold suspension K-theory

Citation

Thakur, Ajay Singh. Oin trivialities of Steifel-Whitney classes of vector bundles over iterated suspensions of Dold manifolds. Homology Homotopy Appl. 15 (2013), no. 1, 223--233. https://projecteuclid.org/euclid.hha/1383943675


Export citation