TY - JOUR
T1 - Group radicals and strongly compact cardinals
AU - Bagaria, Joan
AU - Magidor, Menachem
PY - 2014
Y1 - 2014
N2 - We answer some natural questions about group radicals and torsion classes, which involve the existence of measurable cardinals, by constructing, relative to the existence of a supercompact cardinal, a model of ZFC in which the first ω1-strongly compact cardinal is singular.
AB - We answer some natural questions about group radicals and torsion classes, which involve the existence of measurable cardinals, by constructing, relative to the existence of a supercompact cardinal, a model of ZFC in which the first ω1-strongly compact cardinal is singular.
KW - Group radical
KW - Infinite abelian group
KW - Measurable cardinal
KW - Radin forcing
KW - Strongly compact cardinal
KW - Supercompact cardinal
KW - Torsion class
UR - http://www.scopus.com/inward/record.url?scp=84892997375&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-2013-05871-0
DO - 10.1090/S0002-9947-2013-05871-0
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AN - SCOPUS:84892997375
SN - 0002-9947
VL - 366
SP - 1857
EP - 1877
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 4
ER -