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
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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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