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Article

Szymański, Andrzej
Measurable cardinals and category bases. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 405-409
MSC: 03E35, 03E55, 28A05, 28E15, 54A35, 54E52 | MR 1137803 | Zbl 0766.54030
Keywords:
category base; precipitous ideal; measurable cardinal
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.
References:
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