Sensitive open maps on Peano continua having a free arc

Authors
Shi, En Hui Wang, Su Hua Ma, Li Ying
Citation
Shi, En Hui et al., Sensitive open maps on Peano continua having a free arc, Acta mathematica Sinica. English series (Print) , 32(6), 2016, pp. 736-744
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
6
Year of publication
2016
Pages
736 - 744
Database
ACNP
SICI code
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.