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Minimal multifunctions and the cluster sets. (English) Zbl 1135.54309
The paper deals with the minimal multifunctions which can be considered as the “best” selections closely related to continuous as well as quasi-continuous selections. We will give a characterization of minimal multifunction with closed graph by a cluster multifunction with respect to open sets. The conditions under which minimal multifunction is single valued except for a set of first category are given.

MSC:
54C60 Set-valued maps in general topology
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