On certain indestructibility of strong cardinals and a question of Hajnal |
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Authors: | Moti Gitik Saharon Shelah |
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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 |
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Abstract: | A model in which strongness of is indestructible under + -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 {
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<}. |
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