Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

Some Connectedness and Related Property of Hyperspace with Vietoris Topology

Authors
Meili Zhang, Bo Deng, Yue Yang, Pilin Che
Corresponding Author
Meili Zhang
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.73How to use a DOI?
Keywords
connectedness; locally connectedness; path connectedness; vietoris topology; hyperspace
Abstract
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.
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Proceedings
2015 International Conference on Modeling, Simulation and Applied Mathematics
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.73How to use a DOI?
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  -