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On certain indestructibility of strong cardinals and a question of Hajnal
Authors:Moti Gitik  Saharon Shelah
Institution:(1) School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Ramat Aviv, Tel-Aviv, Israel;(2) Department of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
Abstract:A model in which strongness ofkappa is indestructible under kappa+ -weakly closed forcing notions satisfying the Prikry condition is constructed. This is applied to solve a question of Hajnal on the number of elements of {lambda delta |2 delta <lambda}.
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