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Vector Bundles Over Suspensions

Published online by Cambridge University Press:  20 November 2018

W. M. Chan  and
P. Hoffman
W. M. Chan
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario
P. Hoffman
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario
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We consider finite dimensional complex vector bundles over a compact connected Hausdorff space X, as defined, for example, in [1]. It is well known that if ξ is such a bundle, then there is a bundle η such that ξ⊕η is trivial.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 483 - 484
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Atiyah, M. F., K-theory, Benjamin, 1967.Google Scholar
2. Atiyah, M. F. and Hirzebruch, F., Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., Vol. 3, 7-38, Amer. Math. Soc, Providence, R.I., 1961.Google Scholar