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The singularity method and immersions of m-manifolds into manifolds of dimensions 2m − 2, 2m − 3 and 2m − 4

Immersions And Vector Bundle Morphisms

Part of the Lecture Notes in Mathematics book series (LNM,volume 1350)

Abstract

The singularity method gives both a full obstruction theory for vector bundle monomorphisms and in particular for immersions in the metastable dimension range, and a computational approach to the relevant obstruction groups. Thus it becomes a matter of easy routine to calculate the indeterminacies of classical second and third order obstructions. Often these indeterminacies are so large that only Stiefel-Whitney classes survive.

Keywords

  • Exact Sequence
  • Vector Bundle
  • Line Bundle
  • Bordism Class
  • Classical Obstruction

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1988 Springer-Verlag

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Koschorke, U. (1988). The singularity method and immersions of m-manifolds into manifolds of dimensions 2m − 2, 2m − 3 and 2m − 4. In: Koschorke, U. (eds) Differential Topology. Lecture Notes in Mathematics, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081476

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  • DOI: https://doi.org/10.1007/BFb0081476

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  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

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