×

The normality of a product with a compact factor. (English) Zbl 0267.54005


MSC:

54B10 Product spaces in general topology
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] M. E. Rudin, A normal space X such that X \times I is not normal, Fund. Math. 63 (1971), 179-186. · Zbl 0224.54019
[2] Jean Dieudonné, Une généralisation des espaces compacts, J. Math. Pures Appl. (9) 23 (1944), 65 – 76 (French). · Zbl 0060.39508
[3] Hisahiro Tamano, On paracompactness, Pacific J. Math. 10 (1960), 1043 – 1047. · Zbl 0094.35403
[4] C. H. Dowker, On countably paracompact spaces, Canadian J. Math. 3 (1951), 219 – 224. · Zbl 0042.41007
[5] K. Morita, Paracompactness and product spaces, Fund. Math. 50 (1961/1962), 223 – 236. · Zbl 0099.17401
[6] Keiô Nagami, Normality of products, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 33 – 37. · Zbl 0225.54017
[7] T. and K. Chiba (to appear).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.