Andrzej Szyma\'nski
Measurable cardinals and category bases

Comment.Math.Univ.Carolinae 32,2 (1991) 405-409.

Abstract: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.

Keywords: category base, precipitous ideal, measurable cardinal
AMS Subject Classification: 54E52, 03E35, 03E55