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Sensitive open maps on Peano continua having a free arc

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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.

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Authors and Affiliations

  1. Department of Mathematics, Soochow University, Suzhou, 215006, P. R. China

    En Hui Shi & Li Ying Ma

  2. Zhangjiagang Campus, Jiangsu University of Science and Technology, Zhangjiagang, 215600, P. R. China

    Su Hua Wang

Authors
  1. En Hui Shi
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  2. Su Hua Wang
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  3. Li Ying Ma
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Corresponding author

Correspondence to Su Hua Wang.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 11271278 and 11401263)

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Shi, E., Wang, S. & Ma, L. Sensitive open maps on Peano continua having a free arc. Acta. Math. Sin.-English Ser. 32, 736–744 (2016). https://doi.org/10.1007/s10114-016-5504-5

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  • DOI: https://doi.org/10.1007/s10114-016-5504-5

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