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- W153861543 abstract "This chapter discuses topological space that is sufficient to ensure normality. A space is called countably paracompact if each countable open cover has a locally finite refinement. One uses perfect to mean that every closed set is a Gδ. A space X is collection-wise Hausdorff if for each closed discrete subset D of X, there exists a family, {Ux | x ɛ D}, of open subsets of X. If there exists a normal, nonmetrizable Moore space, then there exists a countably paracompact, nonnormal Moore space. It implies that if one can show under V = L that each countably paracompact Moore space is normal, then one has solved the normal Moore space problem." @default.
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- W153861543 date "1977-01-01" @default.
- W153861543 modified "2023-09-26" @default.
- W153861543 title "NON-NORMAL SPACES" @default.
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- W153861543 doi "https://doi.org/10.1016/b978-0-12-584950-0.50033-x" @default.
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