A remark on singular sets of vector bundle morphisms
Algebraic Topology
2013-12-17 v1 Geometric Topology
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.
Cite
@article{arxiv.1312.4387,
title = {A remark on singular sets of vector bundle morphisms},
author = {Maciej Starostka and Nils Waterstraat},
journal= {arXiv preprint arXiv:1312.4387},
year = {2013}
}
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5 pages