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Hartman’s theorem for hyperbolic sets

Published online by Cambridge University Press:  22 January 2016

Masahiro Kurata
Masahiro Kurata*
Affiliation:
Hokkaido University
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Hartman proved that a diffeomorphism is topologically conjugate to a linear map on a neighbourhood of a hyperbolic fixed point ([3]). In this paper we study the topological conjugacy problem of a diffeomorphism on a neighbourhood of a hyperbolic set, and prove that for any hyperbolic set there is an arbitrarily slight extension to which a sub-shift of finite type is semi-conjugate.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 41 - 52
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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