Diffeomorphisms with persistency
Author:
Kazuhiro Sakai
Journal:
Proc. Amer. Math. Soc. 124 (1996), 2249-2254
MSC (1991):
Primary 54H20, 58F10, 58F15
DOI:
https://doi.org/10.1090/S0002-9939-96-03275-3
MathSciNet review:
1317049
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Abstract | References | Similar Articles | Additional Information
Abstract: The 
interior of the set of all diffeomorphisms satisfying Lewowicz's persistency is characterized as the set of all diffeomorphisms satisfying Axiom A and the strong transversality condition.
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- 4. Shuhei Hayashi, Diffeomorphisms in ℱ¹(ℳ) satisfy Axiom A, Ergodic Theory Dynam. Systems 12 (1992), no. 2, 233–253. MR 1176621, https://doi.org/10.1017/S0143385700006726
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- 7. Kazumine Moriyasu, The topological stability of diffeomorphisms, Nagoya Math. J. 123 (1991), 91–102. MR 1126184, https://doi.org/10.1017/S0027763000003664
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série, t. 15, 1982, 173-204. 
satisfy Axiom A, Ergod. Th. & Dyn. Sys. 12 (1992), 233-253. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 54H20, 58F10, 58F15
Retrieve articles in all journals with MSC (1991): 54H20, 58F10, 58F15
Additional Information
Kazuhiro Sakai
Affiliation:
Department of Mathematics, Kanagawa University, Rokkakubashi, Kanagawa-Ku, Yokohama 221, Japan
Email:
kazsaka@kani.cc.kanagawa.ac.jp
DOI:
https://doi.org/10.1090/S0002-9939-96-03275-3
Keywords:
Persistence,
expansive,
pseudo-Anosov map,
Axiom A,
Anosov diffeomorphism
Received by editor(s):
October 12, 1994
Received by editor(s) in revised form:
January 6, 1995
Communicated by:
Mary Rees
Article copyright:
© Copyright 1996
American Mathematical Society
