Extreme Relations for Topological Flows

• Autorzy: Brunon Kamiński , Artur Siemaszko , Jerzy Szymański
• Języki publikacji: EN

Abstrakty

EN

We introduce the concept of an extreme relation for a topological flow as an analogue of the extreme measurable partition for a measure-preserving transformation considered by Rokhlin and Sinai, and we show that every topological flow has such a relation for any invariant measure. From this result, it follows, among other things, that any deterministic flow has zero topological entropy and any flow which is a K-system with respect to an invariant measure with full support is a topological K-flow.

Kategorie tematyczne

• 37B40: Topological entropy
• 37A35: Entropy and other invariants, isomorphism, classification
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 1
• Strony: 17-24

Daty

wydano

2005

Twórcy

autor

Brunon Kamiński

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

autor

Artur Siemaszko

• Faculty of Mathematics, and Computer Science, University of Warmia and Mazury, Żołnierska 14A, 10-561 Olsztyn, Poland

autor

Jerzy Szymański

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

Identyfikatory

DOI

10.4064/ba53-1-3