The m-Compactness of the Hyperspace with the Locally Finite Topology

Mei-li ZHANG, Xin WANG, Hui-min LU, Pi-lin CHE

Abstract


Let(X, T) be topological space. A vietoris-type topology, called the locally finite topology, is defined on the hyperspace 2X of all closed, nonempty subsets of X . In this paper, we discuss m-compactness of the locally finite topology on hyperspace. And give the important conclusion, therefore this develops E. Micheal, J. Keesling some results.

Keywords


Hyperspace, Locally finite topology, m-compactness component


DOI
10.12783/dtetr/imeia2016/9235

Refbacks

  • There are currently no refbacks.