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Local compactness in approach spaces. I. (English) Zbl 0906.54020
The authors introduce five kinds of local compactness for approach spaces, all coinciding with the usual concept in topological spaces. For three of the above concepts, their generalization by means of measures of local compactness is offered.
Reviewer: M.Hušek (Praha)

##### MSC:
 54D45 Local compactness, $$\sigma$$-compactness 54A05 Topological spaces and generalizations (closure spaces, etc.)
##### Keywords:
approach space; local compactness
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