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A normal screenable non-paracompact space. (English) Zbl 0516.54004


MSC:

54A35 Consistency and independence results in general topology
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
03E45 Inner models, including constructibility, ordinal definability, and core models
54G20 Counterexamples in general topology
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References:

[1] Bing, R. H., Metrization of topological spaces, Canad. J. Math., 3, 175-186 (1951) · Zbl 0042.41301
[2] Nagami, K., Paracompactness and strong screenability, Nagoya Math. J., 88, 83-88 (1955) · Zbl 0064.41102
[3] Dowker, C. H., On countably paracompact spaces, Canad. J. Math., 3, 219-224 (1951) · Zbl 0042.41007
[4] Rudin, M. E., A normal space \(X\) for which \(X × \(I\) is not normal, Fund. Math., 73, 179-186 (1971) · Zbl 0224.54019
[5] Nyikos, P., Classic Problems III, Topology Proceedings, 1, 363-364 (1976)
[7] Fleissner, W. G., A collectionwise Hausdorff nonnormal Moore space with a σ-locally countable base, Topology Proceedings, 4, 83-97 (1979) · Zbl 0437.54026
[11] Kunen, K., Set Theory, (Studies in Logic, Vol. 102 (1980), North-Holland: North-Holland Amsterdam), 80, Lemma 6.14
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