2007/06/01 by Carmi Merimovich · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #Mathematical and Theoretical Analysis #Computability, Logic, AI Algorithms
paper · doi:10.2178/jsl/1185803615
openalex publication_date 2007/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
Abstract We give an application of the extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2 κ = κ + n together with 2 λ = λ + n for each cardinal λ < κ , where 0 < n < ω . The cofinality of κ can be set arbitrarily or κ can remain inaccessible. When κ remains an inaccessible, V κ is a model of ZFC satisfying 2 λ = λ + n for all cardinals λ .