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Measurable cardinals and category bases. (English) Zbl 0766.54030
Summary: We show that the existence of a non-trivial category base on a set of regular cardinality with each subset being Baire is equiconsistent to the existence of a measurable cardinal.
MSC:
54E52 Baire category, Baire spaces
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
54A35 Consistency and independence results in general topology
03E35 Consistency and independence results
03E55 Large cardinals
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