A remark on singular sets of vector bundle morphisms

Starostka, Maciej, Waterstraat, Nils (2015) A remark on singular sets of vector bundle morphisms. European Journal of Mathematics, 1 (1). pp. 154-159. ISSN 2199-675X. (doi:10.1007/s40879-014-0010-8) (KAR id:51398)

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Official URL: http://www.dx.doi.org/10.1007/s40879-014-0010-8

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.

Item Type:	Article
DOI/Identification number:	10.1007/s40879-014-0010-8
Additional information:	Imported from arXiv
Uncontrolled keywords:	Vector bundle morphisms, Characteristic classes, Covering dimension
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Nils Waterstraat
Date Deposited:	03 Nov 2015 16:33 UTC
Last Modified:	16 Feb 2021 13:29 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/51398 (The current URI for this page, for reference purposes)

University of Kent Author Information

Waterstraat, Nils.

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