Some Connectedness and Related Property of Hyperspace with Vietoris Topology
Meili Zhang, Bo Deng, Yue Yang, Pilin Che
Available Online August 2015.
- https://doi.org/10.2991/msam-15.2015.73How to use a DOI?
- connectedness; locally connectedness; path connectedness; vietoris topology; hyperspace
- For a Hausdorff space , we denote by the collection of all closed subsets of . In this paper, we discuss the connectedness and locally connectedness of hyperspace endowed with the vietoris topology. Further path connectedness is investigated. The results generalize some theorems of E. Micheal.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Meili Zhang AU - Bo Deng AU - Yue Yang AU - Pilin Che PY - 2015/08 DA - 2015/08 TI - Some Connectedness and Related Property of Hyperspace with Vietoris Topology BT - 2015 International Conference on Modeling, Simulation and Applied Mathematics PB - Atlantis Press SN - 1951-6851 UR - https://doi.org/10.2991/msam-15.2015.73 DO - https://doi.org/10.2991/msam-15.2015.73 ID - Zhang2015/08 ER -