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On an unlinking theorem

Published online by Cambridge University Press:  24 October 2008

D. W. Sumners
D. W. Sumners
Affiliation:
Florida State University
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Extract

An n-link of multiplicity is a smooth embedding of the disjoint union of μ copies of Sn in Sn+2; is said to be trivial if it extends to a smooth embedding of the disjoint union of μ copies of Dn+1. Let , and Cnμ denote the wedge product of μ copies of S1 and (μ – 1) copies of Sn+1. Then clearly, if is trivial, then X ≃ Cn,μ, where ≃ denotes homotopy equivalence.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 1 - 4
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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