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A subclass of the class MOBI. (English) Zbl 0707.54023

Summary: Necessary and sufficient conditions are given for a regular space to be an open and compact image of a \(\sigma\)-discrete metacompact Moore space. The class of regular spaces satisfying these conditions is invariant under open mappings with compact metric fibers. This gives a characterization of the minimal class of regular spaces containing all \(\sigma\)-discrete metric spaces and invariant under open and compact mappings.

MSC:

54E30 Moore spaces
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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