Archive for Mathematical Logic

, Volume 28, Issue 1, pp 35-42

First online:

On certain indestructibility of strong cardinals and a question of Hajnal

  • Moti GitikAffiliated withSchool of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University
  • , Saharon ShelahAffiliated withDepartment of Mathematics, Hebrew University of Jerusalem

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A model in which strongness ofκ is indestructible under κ+ -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 {λ δ |2 δ <λ}.