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The nonexistence of sensitive commutative group actions on dendrites
Authors:En Hui Shi  Bin Yong Sun  Li Zhen Zhou
Institution:1. Mathematics and Science College, Suzhou University, Suzhou, 215006, P. R. China
2. CAS, Academy of Mathematics and Systems Science, Beijing, 100190, P. R. China
3. Mathematics and Science College, Suzhou University, Suzhou, 215006, P. R. China
Abstract:In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.
Keywords:Homeomorphism  commutative group action  sensitivity  dendrite  continuum
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