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.
@article{116983, author = {Andrzej Szyma\'nski}, title = {Measurable cardinals and category bases}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {32}, year = {1991}, pages = {405-409}, zbl = {0766.54030}, mrnumber = {1137803}, language = {en}, url = {http://dml.mathdoc.fr/item/116983} }
Szymański, Andrzej. Measurable cardinals and category bases. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 405-409. http://gdmltest.u-ga.fr/item/116983/
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