Anosov maps on closed topological manifolds

Kazuhiro SAKAI

doi:10.2969/jmsj/03930505

Kazuhiro SAKAI

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 3 Pages 505-519

DOI https://doi.org/10.2969/jmsj/03930505

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Published: 1987 Received: May 09, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. Aoki, On homeomorphisms with pseudo-orbit tracing property, Tokyo J. Math., 6 (1983), 330-334.
2) N. Aoki, M. Dateyama and M. Komuro, Solenoidal automorphisms with specification, Monatsh. Math., 93 (1982), 79-110.
3) R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Springer, 1976.
4) P. F. Duvall, Jr. and L. S. Husch, Analysis on topological manifolds, Fund. Math., 77 (1972), 75-90.
5) W. H. Gottschalk and G. A. Hedlund, Topological Dynamics, Amer. Math. Soc. Colloq. Publ. Vol. 36, 1955.
6) K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
7) K. Hiraide, Expansive homeomorphisms of compact surfaces satisfying the pseudoorbit tracing property, preprint.
8) R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
9) R. Mañé and C. Pugh, Stability of endomorphisms, Warwick Dynamical Systems 1974, Lecture Notes in Math., 468, Springer, 1975, pp. 175-184.
10) A. Morimoto, The method of pseudo-orbit tracing property and stability, Tokyo Univ. Seminary notes, 39, 1979, (in Japanese).
11) Z. Nitecki, On semi-stability for diffeomorpshims, Invent. Math., 14 (1971), 81-122.
12) F. Przytycki, Anosov endomorphisms, Studia Math., 58 (1976), 249-285.
13) W. L. Reddy, Expanding maps on compact metric spaces, Topology Appl., 13 (1982), 327-334.
14) K. Sakai, Periodic points of positively expansive maps, Proc. Amer. Math. Soc., 94 (1985), 531-534.

Right : [1] N. Aoki, On homeomorphisms with pseudo-orbit tracing property, Tokyo J. Math., 6 (1983), 330-334.
[2] N. Aoki, M. Dateyama and M. Komuro, Solenoidal automorphisms with specification, Monatsh. Math., 93 (1982), 79-110.
[3] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Springer, 1976.
[4] P. F. Duvall, Jr. and L. S. Husch, Analysis on topological manifolds, Fund. Math., 77 (1972), 75-90.
[5] W. H. Gottschalk and G. A. Hedlund, Topological Dynamics, Amer. Math. Soc. Colloq. Publ. Vol. 36, 1955.
[6] K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
[7] K. Hiraide, Expansive homeomorphisms of compact surfaces satisfying the pseudoorbit tracing property, preprint.
[8] R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
[9] R. Mañé and C. Pugh, Stability of endomorphisms, Warwick Dynamical Systems 1974, Lecture Notes in Math., 468, Springer, 1975, pp. 175-184.
[10] A. Morimoto, The method of pseudo-orbit tracing property and stability, Tokyo Univ. Seminary notes, 39, 1979, (in Japanese).
[11] Z. Nitecki, On semi-stability for diffeomorpshims, Invent. Math., 14 (1971), 81-122.
[12] F. Przytycki, Anosov endomorphisms, Studia Math., 58 (1976), 249-285.
[13] W. L. Reddy, Expanding maps on compact metric spaces, Topology Appl., 13 (1982), 327-334.
[14] K. Sakai, Periodic points of positively expansive maps, Proc. Amer. Math. Soc., 94 (1985), 531-534.

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