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

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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
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.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
Series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
10.2991/msam-15.2015.73How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
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  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 319
EP  - 321
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.73
DO  - 10.2991/msam-15.2015.73
ID  - Zhang2015/08
ER  -