Expansive homeomorphisms with the pseudo-orbit tracing property on compact surfaces

Koichi HIRAIDE

doi:10.2969/jmsj/04010123

Koichi HIRAIDE

著者情報

ジャーナルフリー

1988 年 40 巻 1 号 p. 123-137

DOI https://doi.org/10.2969/jmsj/04010123

詳細

Published: 1988 Received: 1986/06/05 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), 329-334.
2) R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Springer, 1975.
3) J. Franks, Anosov diffeomorphisms, Global analysis, Proc. Sympos. Pure Math., 14 (1970), 61-93.
4) D. W. Hall and G. L. Spencer II, Elementary Topology, John Wiley, New York, 1955.
5) G. Hector and U. Hirsch, Introduction to the Geometry of Foliations Part A, Aspects of Math., Fredr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1981.
6) K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
7) R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
8) A. Morimoto, The method of pseudo-orbit tracing and stability of dynamical systems, Seminar Note, 39, Dept. Math. Tokyo Univ., 1979, (in Japanese).
9) T. O'Brien and W. Reddy, Each compact orientable surface of positive genus admits an expansive homeomorphism, Pacific J. Math., 35 (1970), 737-741.
10) G. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust., Hermann, Paris, 1952.
11) E. H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.

Right : [1] N. Aoki, On homeomorphisms with pseudo-orbit tracing property, Tokyo J. Math., 6 (1983), 329-334.
[2] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Springer, 1975.
[3] J. Franks, Anosov diffeomorphisms, Global analysis, Proc. Sympos. Pure Math., 14 (1970), 61-93.
[4] D. W. Hall and G. L. Spencer II, Elementary Topology, John Wiley, New York, 1955.
[5] G. Hector and U. Hirsch, Introduction to the Geometry of Foliations Part A, Aspects of Math., Fredr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1981.
[6] K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
[7] R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
[8] A. Morimoto, The method of pseudo-orbit tracing and stability of dynamical systems, Seminar Note, 39, Dept. Math. Tokyo Univ., 1979, (in Japanese).
[9] T. O'Brien and W. Reddy, Each compact orientable surface of positive genus admits an expansive homeomorphism, Pacific J. Math., 35 (1970), 737-741.
[10] G. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust., Hermann, Paris, 1952.
[11] E. H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.

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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