Geodesic
Vector Bundles Over Suspensions
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 483-484

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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. 
Chan, W. M.; Hoffman, P. Vector Bundles Over Suspensions. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 483-484. doi: 10.4153/CMB-1974-085-0
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     title = {Vector {Bundles} {Over} {Suspensions}},
     journal = {Canadian mathematical bulletin},
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     year = {1974},
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     number = {4},
     doi = {10.4153/CMB-1974-085-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-085-0/}
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