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STRONG TREE PROPERTIES FOR SMALL CARDINALS
被引:9
|作者:
Fontanella, Laura
[1
]
机构:
[1] Univ Paris 07, IMJ, Equipe Log Math, UFR Math Case 7012, F-75205 Paris 13, France
关键词:
tree property;
large cardinals;
forcing;
D O I:
10.2178/jsl.7801220
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
An inaccessible cardinal kappa is supercompact when (kappa, lambda)-ITP holds for all lambda >= kappa. We prove that if there is a model of ZFC with infinitely many supercompact cardinals, then there is a model of ZFC where for every n >= 2 and mu >= aleph(n), we have (aleph(n), mu)-ITP.
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页码:317 / 333
页数:17
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