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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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