Cylinder cocycle extensions of minimal rotations on monothetic groups

• Autorzy: Mieczysław K. Mentzen , Artur Siemaszko
• Języki publikacji: EN

Abstrakty

EN

The main results of this paper are: 1. No topologically transitive cocycle $ℝ^m$-extension of minimal rotation on the unit circle by a continuous real-valued bounded variation ℤ-cocycle admits minimal subsets. 2. A minimal rotation on a compact metric monothetic group does not admit a topologically transitive real-valued cocycle if and only if the group is finite.

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 1
• Strony: 75-88

Daty

wydano

2004

Twórcy

autor

Mieczysław K. Mentzen

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Artur Siemaszko

• Faculty of Mathematics and Information Technology, University of Warmia and Mazury in Olsztyn, Żołnierska 14A, 10-561 Olsztyn, Poland

Identyfikatory

DOI

10.4064/cm101-1-5