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The tree property at double successors of singular cardinals of uncountable cofinality
Authors:Mohammad Golshani  Rahman Mohammadpour
Affiliation:1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran;2. Equipe de Logique Mathématique, Institut de Mathématiques de Jussieu, Université Paris Diderot, Paris, France
Abstract:Assuming the existence of a strong cardinal κ and a measurable cardinal above it, we force a generic extension in which κ is a singular strong limit cardinal of any given cofinality, and such that the tree property holds at κ++.
Keywords:03E35  03E55  03E05  03E20  Forcing  Large cardinals  Tree property
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