Bennett, H. R.; Chaber, J. A subclass of the class MOBI. (English) Zbl 0707.54023 Fundam. Math. 135, No. 1, 65-75 (1990). 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. Cited in 1 Document MSC: 54E30 Moore spaces 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) Keywords:class MOBI; minimal class of \(T_ i\)-spaces containing all metric spaces; open and compact image of a \(\sigma \) -discrete metacompact Moore space; regular spaces; \(\sigma \) -discrete metric spaces PDFBibTeX XMLCite \textit{H. R. Bennett} and \textit{J. Chaber}, Fundam. Math. 135, No. 1, 65--75 (1990; Zbl 0707.54023) Full Text: DOI EuDML