The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites
FUNDAMENTA MATHEMATICAE(2009)
摘要
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.
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关键词
Peano continuum,expansiveness,group action,geometric entropy,ping-pong game,free dendrite
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