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Multiple points of singular maps

Published online by Cambridge University Press:  24 October 2008

András Szücs
András Szücs
Affiliation:
Department of Analysis, Eötvös University, Budapest, Hungary
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Extract

In 1979 at the Siegen Topology conference Peter Eccles in his lecture asked and in most cases answered the following

Question. For which values of n does an immersion of a closed n-dimensional manifold into Rn+1 exist with a single (n + 1)-tuple point?

The answer (see [3–5, 8]) implies the following:

Proposition (Eccles). No immersion of an even dimensional orientable manifold Mn into Rn+1 has a single (n + l)-tuple point.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 2 , September 1986 , pp. 331 - 346
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

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