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- W2313777659 abstract "A topological space X is called developable if it has a development, i.e., a sequence of open covers of X such that for each x ∈ X the collection is a neighbourhood base of x , where This class of spaces has turned out to be one of the most natural and useful generalizations of metrizable spaces [ 23 ]. In [ 4 ] it was shown that some well known results in metrization theory have counterparts in the theory of developable spaces (i.e., Urysohn's metrization theorem, the Nagata-Smirnov theorem, and Nagata's “double sequence theorem”). Moreover, in [ 3 ] it was pointed out that subspaces of products of developable spaces (i.e., D -completely regular spaces) can be characterized in much the same way as subspaces of products of metrizable spaces (i.e., completely regular T 1 -spaces)." @default.
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- W2313777659 date "1981-12-01" @default.
- W2313777659 modified "2023-09-26" @default.
- W2313777659 title "Separating Closed Sets by Continuous Mappings into Developable Spaces" @default.
- W2313777659 doi "https://doi.org/10.4153/cjm-1981-108-1" @default.
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