Geodesic
Products of $k$-spaces, and questions
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 335-345.

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As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. But, the product of a separable metric space with a $k$-space need not be a $k$-space. In this paper, we consider conditions for products to be $k$-spaces, and pose some related questions.
Classification : 54B10, 54B15, 54D50, 54D55
Keywords: $k$-space; sequential space; strongly Fr'{e}chet space; bi-$k$-space; strongly sequential space; Tanaka space 
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Tanaka, Yoshio. Products of $k$-spaces, and questions. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 335-345. http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a11/