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No cardinal correct inner model elementarily embeds into the universe

2024/11/01 by Gabriel Goldberg, Goldberg, Gabriel, Sebastiano Thei +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Cosmology and Gravitation Theories #FOS: Mathematics #Logic (math.LO) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2411.01046

openalex publication_date 2024/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

An elementary embedding j:M→ N between two inner models of ZFC is cardinal preserving if M and N correctly compute the class of cardinals. We look at the case N=V and show that there is no nontrivial cardinal preserving elementary embedding from M into V, answering a question of Caicedo.

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