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Multiple points of codimension one immersions of oriented manifolds

Published online by Cambridge University Press:  24 October 2008

Peter John Eccles
Peter John Eccles
Affiliation:
Department of Mathematics, The University, Manchester M 13 9PL
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Extract

Work by L.S.Pontrjagin(18) and M.W.Hirsch(7) allows us to identify the stable n-stem with the bordism group of oriented compact closed smooth n-manifolds immersed in ℝn+1. In a recent paper (11), U. Koschorke discusses invariants thereby defined on by analysing the self-intersections of immersed manifolds. In particular he discusses the homomorphism

defined by assigning to a generic immersion Mn → ℝn+1 number (modulo 2) of its (n+ 1)-fold points.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 2 , March 1980 , pp. 213 - 220
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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