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The Stable Homeomorphism Conjecture in Dimension Four—An Equivalent Conjecture

Published online by Cambridge University Press:  20 November 2018

Bjorn Friberg
Bjorn Friberg*
Affiliation:
University of Saskatchewan, Saskatoon, Saskatchewan
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The stable homeomorphism conjecture in dimension n,SHC (n), says that every orientation preserving homeomorphism of Sn is stable, i.e. can be written as the composition of homeomorphisms, each of which are the identity on some open set. This is equivalent to the homeomorphism being isotopic to the identity [6]. Call a homeomorphism k-stable if it is isotopic to a homeomorphism which is the identity on Sk ⊂ Sn.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 2 , 01 April 1978 , pp. 238 - 242
Copyright
Copyright © Canadian Mathematical Society 1978

References

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