Anosov maps on closed topological manifolds

Kazuhiro SAKAI

doi:10.2969/jmsj/03930505

Kazuhiro SAKAI

著者情報

ジャーナルフリー

1987 年 39 巻 3 号 p. 505-519

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

詳細

Published: 1987 Received: 1985/05/09 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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