Local Compactness of Locally Finite Topology |
Received:January 15, 2002 |
Key Words:
locally finite topology hyperspace locally compact.
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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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