Topological Mixing of Tree Maps
Received:December 14, 1999  
Key Words: tree map   n-SP   QSP   topological mixing.  
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Author NameAffiliation
SUN Tai-xiang Dept. of Math.
University of Science and Technology of China
Hefei
China
Inst. of Math.
Guangxi University
Nanning
China 
LIU Xin-he Inst. of Math.
Guangxi University
Nanning
China 
XU Sheng-rong Inst. of Math.
Guangxi University
Nanning
China 
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Abstract:
      Let f be a continuous mapping from tree (i. e. compact connected one-dimensional branched manifold without cycles) with e endpoints to itself, and n a natural number. In this paper, we introduce the definitions of n-specification property (i.e. , n-SP) and quasi-speci-fication property (i. e. QSP), and show that f is topological mixing if and only if f has 2λ(e-1)! -SP (or QSP), where λ= min{e -2,1}.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.04.029
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