The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites

• Autorzy: Enhui Shi , Suhua Wang
• Języki publikacji: EN

Abstrakty

EN

It is shown that each expansive group action on a Peano continuum having a free dendrite must have a ping-pong game, and has positive geometric entropy when the acting group is finitely generated. As a corollary, it is shown that each Peano continuum having a free dendrite admits no expansive nilpotent group actions.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 1
• Strony: 21-37

Daty

wydano

2009

Twórcy

autor

Enhui Shi

• Department of Mathematics, Suzhou University, Suzhou 215006, P.R. China

autor

Suhua Wang

• Department of Mathematics, Suzhou University, Suzhou 215006, P.R. China

Identyfikatory

DOI

10.4064/fm203-1-2