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The topological stability of diffeomorphisms

Published online by Cambridge University Press:  22 January 2016

Kazumine Moriyasu*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo 192-03, Japan
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The present paper is concerned with the stability of diffeomorphisms of C∞ closed manifolds. Let M be a C∞ closed manifold and Diffr(M) be the space of Cr diffeomorphisms of M endowed with the Cr topology (in this paper we deal with only the case r = 0 or 1). Let us define

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991