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Topological stability of solenoidal automorphisms

Published online by Cambridge University Press:  22 January 2016

Nobuo Aoki
Nobuo Aoki*
Affiliation:
Tokyo Metropolitan University, Department of Mathematics, Tokyo, Japan
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In [10] A. Morimoto proved that every topologically stable homeomorphism of a compact manifold M has the pseudo-orbit tracing property in the case dim (M) ≥ 2. Further, in studying relation between the topological stability and other stability of diffeomorphisms, he showed the following

Theorem A. Let Rr be the r-dimensional vector group and φ be a group automorphism of Rr.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 119 - 135
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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