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A remark on singular sets of vector bundle morphisms

Abstract

If characteristic classes for two vector bundles over the same base space do 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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Authors (2)

  • Photo of dr inż. Maciej Starostka

    Maciej Starostka dr inż.

    • Polish Academy of Sciences Institute of Mathematics
  • Photo of  Nils Waterstraat

    Nils Waterstraat

    • . .

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
Central European Journal of Mathematics no. 1, edition 1, pages 154 - 159,
ISSN: 1895-1074
Language:
English
Publication year:
2015
Bibliographic description:
Starostka M., Waterstraat N.: A remark on singular sets of vector bundle morphisms// Central European Journal of Mathematics. -Vol. 1, iss. 1 (2015), s.154-159
DOI:
Digital Object Identifier (open in new tab) 10.1007/s40879-014-0010-8
Verified by:
Gdańsk University of Technology

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