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- W2330723401 abstract "F. B. Jones (6) has shown that, if , then every separable normal Moore space is metrizable. It is not known whether this assumption is necessary, though perhaps some progress is made in (5) . However, it is easily seen from R. H. Bing's Example E in (3) that a certain condition (see (1) below) implied by is necessary. Also in (3) , Bing showed that every screenable normal Moore space is metrizable. In this paper we establish that: (1) every separable normal Moore space is metrizable if and only if every uncountable subspace M of E 1 contains a subset which is not an F σ (in M ); (2) if every pointwise paracompact normal Moore space is metrizable, then so is every separable normal Moore space; (3) every screenable Moore space is pointwise paracompact but not conversely; (4) a T 3 -space is a pointwise paracompact Moore space if and only if it has a uniform base (in the sense of ( 1 , p. 40), not a uniformity)." @default.
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- W2330723401 date "1964-01-01" @default.
- W2330723401 modified "2023-10-01" @default.
- W2330723401 title "Screenability, Pointwise Paracompactness, and Metrization of Moore Spaces" @default.
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- W2330723401 doi "https://doi.org/10.4153/cjm-1964-073-3" @default.
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