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.
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
Keywords: category base; precipitous ideal; measurable cardinal
@article{CMUC_1991_32_2_a23,
author = {Szyma\'nski, Andrzej},
title = {Measurable cardinals and category bases},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {405--409},
year = {1991},
volume = {32},
number = {2},
mrnumber = {1137803},
zbl = {0766.54030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a23/}
}
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/
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