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arXiv · 1312.4387

A remark on singular sets of vector bundle morphisms

Maciej Starostka·Nils Waterstraat
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Abstract

If a characteristic class for two vector bundles over the same base space does not coincide, then the bundles are not isomorphic. We give under rather common assumptions a lower bound on the topological dimension of the set of all points in the base over which a morphism between such bundles is not bijective. Moreover, we show that this set is topologically non-trivial.

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Maciej Starostka, Nils Waterstraat. 2013-12-16. A remark on singular sets of vector bundle morphisms. https://arxiv.org/abs/1312.4387

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