The nonexistence of sensitive commutative group actions on graphs

作     者：Jie-hua MAI~1 En-hui SHI~(2+) 1 Institute of Mathematics,Shantou University,Shantou 515063,China 2 School of Mathematical Sciences,Suzhou University,Suzhou 215006,China 

作者机构：Institute of Mathematics Shantou University Shantou China School of Mathematical Sciences Suzhou University Suzhou China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2007年第50卷第8期

页      面：1197-1204页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the Special Foundation of National Prior Basic Researches of China(Grant No.G1999075108) partially supported by the National Natural Science Foundation of China(Grant No.10501042) 

主　　题：homeomorphism commutative group action graph map sensitivity expansiveness infinite spiral curve 

摘      要：In this paper,we observe a special kind of continuous functions on *** estimating the integrals of these functions,we prove that there are no sensitive commutative group actions on ***,we consider a 1-dimensional continuum composed of a spiral curve and a circle and show that there exist sensitive homeomorphisms on it,which answers negatively a question proposed by Kato in 1993.