2014/01/25 by Shahram Mohsenipour, Mohsenipour, Shahram
Mathematics · Physics and Astronomy · #03C55 #03C64 #Differential Equations and Boundary Problems #FOS: Mathematics #Logic (math.LO) #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.LO #msc:03C55 #msc:03C64
paper · pdf · doi:10.48550/arxiv.1401.6535
Though the technical heart of the paper remains the same, we completely change the exposition of the paper
openalex publication_date 2014/01/25 · arxiv created 2015/09/20 · arxiv updated 2015/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Keisler proved that if θ is a strong limit cardinal and λ is a singular cardinal, then the transfer relation θ\longrightarrowλ holds. In a previous paper, we studied initial elementary submodels of the λ-like models produced in the proof of Keisler's transfer theorem when θ is further assumed to be regular i.e., θ is strongly inaccessible. In this paper we deal with a much more difficult situation. Some years ago Ali Enayat asked the author whether Keisler's singular-like models can have elementary end extensions. We give a positive answer to this question.