The Nonexistence of Sensitive Commutative Group Actions on Dendrites  

The Nonexistence of Sensitive Commutative Group Actions on Dendrites

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作  者:En Hui SHI Bin Yong SUN Li Zhen ZHOU 

机构地区:[1]Mathematics and Science College, Suzhou University, Suzhou 215006, P. R. China [2]Academy of Mathematics and Systems Science, CAS, Beijing 100190, P. R. China

出  处:《Acta Mathematica Sinica,English Series》2010年第10期1961-1968,共8页数学学报(英文版)

基  金:Supported by National Natural Science Foundation of China (Grant Nos. 10801103, 10801126 and 10871142);Natural Sciences Fund for Colleges and Universities in Jiangsu Province (Grant No. 08KJB110010)

摘  要:In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.

关 键 词:HOMEOMORPHISM commutative group action sensitivity DENDRITE CONTINUUM 

分 类 号:O152[理学—数学] Q421[理学—基础数学]

 

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