Baire's Category Theoretic Classification of Compact Expansive Dynamical Systems

Springer Science and Business Media LLC - Tập 09 Số 04 - Trang 315-323 - 2002
Kazutaka Sakai1
1Department of Mathematics and Information Science, Graduate School of Science and Technology, Niigata University, 8050, 2-nochou, Ikarashi, Niigata-shi, 950–2181, Japan

Tóm tắt

A revised version of the estimation inequality of Akashi [2] is given, and this result is applied to Baire's category theoretic classification of ∊-expansive dynamical systems. Moreover, this classification method is applied to topological classification of shift dynamical systems on finite-dimensional compact domains.

Từ khóa


Tài liệu tham khảo

10.1090/S0002-9947-1965-0175106-9

10.1016/S0034-4877(01)80003-3

Barnsley M. F., 1993, Fractal Everywhere

Ingarden R. S., 1997, Fundamental Theories of Physcis, 86