Harley, P. W. III. On countably paracompact spaces and closed maps. (English) Zbl 0681.54006 Port. Math. 46, No. 2, 115-119 (1989). Author’s abstract: “Here it is shown that the boundary of \(f^{-1}(y)\) is countably compact when X is \(T_ 1\) and countable paracompact, Y is a q-space and f: \(X\to Y\) is a continuous closed surjection, and applications are given concerning (1) the preservation of countable paracompactness under closed mappings, and (2) the creation of metrizable spaces under closed mappings.” Reviewer: D.E.Cameron Cited in 1 Document MSC: 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54E35 Metric spaces, metrizability 54E99 Topological spaces with richer structures Keywords:symmetrizable spaces; metrization; preservation; countable paracompactness; closed mappings PDFBibTeX XMLCite \textit{P. W. III. Harley}, Port. Math. 46, No. 2, 115--119 (1989; Zbl 0681.54006) Full Text: EuDML