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Sensitive open maps on Peano continua having a free arc

En Hui Shi,Su Hua Wang, Li Ying Ma

Acta Mathematica Sinica（2016）

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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 S 1 .
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Key words
Sensitivity, open map, Peano continuum, free arc, 54H20, 37B45, 37E99
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