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- W2321886170 abstract "Our present work is divided into three sections. In §2 we study the metrizability of spaces with a G δ -diagonal (see Definition 2.1). In §3 we study the metrization of topological spaces by means of collections of (not necessarily continuous) real-valued functions on a topological space. Our efforts, in §§2 and 3, are directed toward answering the following question: “Is every normal, metacompact (see Definition 2.4) Moore space a metrizable space?” which still remains unsolved. (However, Theorems 2.12 through 2.15 and Theorem 3.1 may be helpful in answering the preceding question.) In §4 we prove an apparently new necessary and sufficient condition for the metrizability of the Stone-Čech compactification of a metrizable space and hence for the compactness of a metric space." @default.
- W2321886170 created "2016-06-24" @default.
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- W2321886170 date "1968-01-01" @default.
- W2321886170 modified "2023-10-12" @default.
- W2321886170 title "On Metrizability of Topological Spaces" @default.
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- W2321886170 doi "https://doi.org/10.4153/cjm-1968-078-1" @default.
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