Multiple points of singular maps
Published online by Cambridge University Press: 24 October 2008
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
References
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