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Surgering the equatorial immersion in law dimensions

Immersions And Vector Bundle Morphisms

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

Abstract

More examples of immersions with one 0-dimensional multiple point are given in three and four space. Given an immersion in four space with one 0-dimensional multiple point, a geometric obstruction to finding an immersion in five space with the same property is given. A series of proposed geometric constructions is given. Completing each of these constructions will lead to further insight to Eccles's theorem and the Kervaire invariant problem.

MRCN

  • 57R42
  • 57R65
  • 55Q10
  • 55N22
  • Key words
  • Immersion
  • equatorial immersion
  • bordism of immersions
  • (k,r)-chirurgery on immersions
  • Boy's immersions
  • multiple points
  • self intersection sets

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References

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© 1988 Springer-Verlag

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Carter, J.S. (1988). Surgering the equatorial immersion in law dimensions. In: Koschorke, U. (eds) Differential Topology. Lecture Notes in Mathematics, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081473

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  • DOI: https://doi.org/10.1007/BFb0081473

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

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