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Sums of stably trivial vector bundles

Published online by Cambridge University Press:  24 October 2008

Jacques Allard
Jacques Allard
Affiliation:
Département de Mathématiques, Université de Montréal, Montreal, Canada
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Extract

We say that a real vector bundle ξ over a finite C.W. complex X is stably trivial of type (n, k) or, simply, of type (n, k) if ξ ⊕ kε ≅ nε, where ε denotes a trivial line bundle. The following theorem is an immediate corollary (see (12)) of a theorem of T. Y. Lam ((9), theorem 2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 1 , January 1980 , pp. 97 - 107
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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