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math.LO2012
Strong Tree Properties at Successors of Singular Cardinals
Laura Fontanella
We prove that successors of singular limits of strongly compact cardinals have the strong tree property. We also prove that aleph_{omega+1} can consistently satisfy the strong tree…
math.LO2012
Strong Tree Properties for Small Cardinals
Laura Fontanella
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 infinitel…