Strong Tree Properties for Small Cardinals

Details Strong Tree Properties for Small Cardinals Strong Tree Properties for Small Cardinals

2012-01-31

arxiv.org/abs/1201.6673v2

Mathematics

Logic

arXiv admin note: text overlap with arXiv:1110.6736

Scientific paper

An inaccessible cardinal kappa is supercompact when (kappa, lambda)-ITP holds
for all lambda greater than or equal to 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 natural number n greater than 1 and for every ordinal mu
greater than or equal to aleph_n, we have (aleph_n, mu)-ITP.

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