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Products of \(k\)-spaces, and questions. (English) Zbl 1100.54006
Summary: It is well-known that 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.

MSC:
54B10 Product spaces in general topology
54D50 \(k\)-spaces
54D55 Sequential spaces
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