Geodesic
Measurable cardinals and category bases
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 405-409.

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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.
Classification : 03E35, 03E55, 28A05, 28E15, 54A35, 54E52
Keywords: category base; precipitous ideal; measurable cardinal 
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Szymański, Andrzej. Measurable cardinals and category bases. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 405-409. http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a23/