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The box product of countably many copies of the rationals is consistently paracompact. (English) Zbl 0704.54013
Summary: By proving the theorem stated in the title, we show that local compactness in the factor spaces is not necessary for paracompactness in the box product.

MSC:
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54A35 Consistency and independence results in general topology
54B10 Product spaces in general topology
54B20 Hyperspaces in general topology
54D45 Local compactness, \(\sigma\)-compactness
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