Local Compactness of Locally Finite Topology
Received:January 15, 2002  
Key Word: locally finite topology   hyperspace   locally compact.  
Fund ProjectL:
Author NameAffiliation
SONG Chun-ling Dept. of Appl. Math.
Dalian University of Technology
Dalian
China 
XIE Lin Dept. of Appl. Math.
Dalian University of Technology
Dalian
China 
XIA Zun-quan Dept. of Appl. Math.
Dalian University of Technology
Dalian
China 
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Abstract:
      In this paper the local compactness of the nonempty closed subsets hyperspaces with locally finite topology is discussed. The main result is as follows: Let X be a regular space, then the nonempty closed subsets hyperspace is locally compact iff X can be represented as the sum of a compact space and a discrete space.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.018
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