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Rich families, \(W\)-spaces and the product of Baire spaces. (English) Zbl 1155.54321

Summary: We prove a theorem more general than the following. Suppose that \(X\) is Baire space and \(Y\) is the product of hereditarily Baire metric spaces; then \(X\times Y\) is a Baire space.

MSC:

54B10 Product spaces in general topology
54C35 Function spaces in general topology
54E52 Baire category, Baire spaces
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