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Sensitive open maps on Peano continua having a free arc |
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| Authors: | En Hui Shi Su Hua Wang Li Ying Ma |
| Institution: | 1.Department of Mathematics, Soochow University, Suzhou 215006, P. R. China;2.Zhangjiagang Campus, Jiangsu University of Science and Technology, Zhangjiagang 215600, P. R. China |
| Abstract: | Let X be a Peano continuum having a free arc. If X admits a sensitive open map, then X either is homeomorphic to the closed interval 0, 1], or is homeomorphic to the unit circle S1. |
| Keywords: | Sensitivity open map Peano continuum free arc |
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