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The relative Schoenflies theorem

Published online by Cambridge University Press:  17 April 2009

David Gauld
David Gauld
Affiliation:
Department of Mathematics, University of Auckland, Private Bag, Auckland, New Zealand.
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Abstract

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The relative Schoenflies theorem says that a locally flat embedding e: Sn−1 → Rn for which e−1(Rk) = Sk−1 extends to homeomorphism of the pair (Rn, Rk) provided the local collars respect Rk. In this note it is shown that the proviso is essential, at least when k = 3.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 2 , October 1980 , pp. 249 - 251
Copyright
Copyright © Australian Mathematical Society 1980

References

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