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Isomorphisms between diffeomorphism groups

Published online by Cambridge University Press:  19 September 2008

R. P. Filipkiewicz
R. P. Filipkiewicz
Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 1AL, England
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Abstract

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It is shown that any group isomorphism between the Ck diffeomorphism groups of two finite-dimensional, boundaryless paracompact manifolds is induced by a Ck diffeomorphism between the manifolds (1 ≤ k ≤ ∞).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 2 , June 1982 , pp. 159 - 171
Copyright
Copyright © Cambridge University Press 1982

References

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