Geodesic
The Normality in Products with a Countably Compact Factor
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 245-251

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DOI

It is known that the product ${{\omega }_{1}}\times X$ of ${{\omega }_{1}}$ with an ${{M}_{1}}$ -space may be non-normal. In this paper we prove that the product $\kappa \times X$ of an uncountable regular cardinal κ with a paracompact semi-stratifiable space is normal iff it is countably paracompact. We also give a sufficient condition under which the product of a normal space with a paracompact space is normal, from which many theorems involving such a product with a countably compact factor can be derived.
DOI : 10.4153/CMB-1998-035-x
Mots-clés : 54B19, 54D15, 54D20 
Yang, Lecheng. The Normality in Products with a Countably Compact Factor. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 245-251. doi: 10.4153/CMB-1998-035-x
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     title = {The {Normality} in {Products} with a {Countably} {Compact} {Factor}},
     journal = {Canadian mathematical bulletin},
     pages = {245--251},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-035-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-035-x/}
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