Expansive homeomorphisms with the pseudo-orbit tracing property of n-tori

Koichi HIRAIDE

doi:10.2969/jmsj/04130357

Koichi HIRAIDE

著者情報

ジャーナルフリー

1989 年 41 巻 3 号 p. 357-389

DOI https://doi.org/10.2969/jmsj/04130357

詳細

Published: 1989 Received: 1987/10/12 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: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Yukihiro Kodama on his 60th birthday

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) N. Aoki and K. Hiraide, Generalized foliations and algebraic representations of maps on dynamical systems, preprint.
3) R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math., 470, Springer, 1975.
4) G. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967.
5) M. Brin and A. Manning, Anosov diffeomorphisms with pinched spectrum, Lecture Notes in Math., 898, Springer, 1981, pp. 48-53.
6) R. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresmann and Company, 1971.
7) A. Dold, Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology, 4 (1965), 1-8.
8) P. Duvall and L. Husch, Analysis on topological manifolds, Fund. Math., 77 (1972) 75-90.
9) J. Franks, Anosov diffeomorphisms on tori, Trans. Amer. Math. Soc., 145 (1969), 117-124.
10) J. Franks, Anosov diffeomorphisms, Global Analysis, Proc. Sympos. Pure Math., 14 (1970), Amer. Math. Soc., 61-93.
11) K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
12) K. Hiraide, Expansive homeomorphisms with the pseudo-orbit tracing property on compact surfaces, J. Math. Soc. Japan, 40 (1988), 123-137.
13) K. Hiraide, Expansive homeomorphisms with the pseudo-orbit tracing property of n-tori, Dynamical Systems and Applications, World Sci. Publ., Singapore, 1987, pp. 35-41.
14) R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
15) A. Manning, There are no new Anosov diffeomorphisms on tori, Amer. J. Math., 96 (1974), 422-429.
16) A. Morimoto, The method of pseudo-orbit tracing and stability of dynamical systems, Seminar Note, 39, Dept. Math. Tokyo Univ., 1979, (in Japanese).
17) 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] N. Aoki and K. Hiraide, Generalized foliations and algebraic representations of maps on dynamical systems, preprint.
[3] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math., 470, Springer, 1975.
[4] G. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967.
[5] M. Brin and A. Manning, Anosov diffeomorphisms with pinched spectrum, Lecture Notes in Math., 898, Springer, 1981, pp. 48-53.
[6] R. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresmann and Company, 1971.
[7] A. Dold, Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology, 4 (1965), 1-8.
[8] P. Duvall and L. Husch, Analysis on topological manifolds, Fund. Math., 77 (1972) 75-90.
[9] J. Franks, Anosov diffeomorphisms on tori, Trans. Amer. Math. Soc., 145 (1969), 117-124.
[10] J. Franks, Anosov diffeomorphisms, Global Analysis, Proc. Sympos. Pure Math., 14 (1970), Amer. Math. Soc., 61-93.
[11] K. Hiraide, On homeomorphisms with Markov partitions, Tokyo J. Math., 8 (1985), 219-229.
[12] K. Hiraide, Expansive homeomorphisms with the pseudo-orbit tracing property on compact surfaces, J. Math. Soc. Japan, 40 (1988), 123-137.
[13] K. Hiraide, Expansive homeomorphisms with the pseudo-orbit tracing property of n-tori, Dynamical Systems and Applications, World Sci. Publ., Singapore, 1987, pp. 35-41.
[14] R. Mañé, Expansive homeomorphisms and topological dimension, Trans. Amer. Math. Soc., 252 (1979), 313-319.
[15] A. Manning, There are no new Anosov diffeomorphisms on tori, Amer. J. Math., 96 (1974), 422-429.
[16] A. Morimoto, The method of pseudo-orbit tracing and stability of dynamical systems, Seminar Note, 39, Dept. Math. Tokyo Univ., 1979, (in Japanese).
[17] 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: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）