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Torsion Elements and the Classification of Vector Bundles

Published online by Cambridge University Press:  20 November 2018

Robert D. Little*
Affiliation:
University of Hawaii at Manoa, Honolulu, Hawaii
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There are many situations in algebraic topology when a geometric construction is possible if, and only if, a certain integral cohomology class, an obstruction is zero. When attempts are made to compute the obstruction, it often happens that it is relatively easy to show that m times the obstruction is zero, where m is an integer, and consequently the geometric construction is possible if the cohomology group in question has no elements of order m.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1977

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