No universal graphs at uncountable regular cardinals

2022/06/01 by Mohammad Golshani, Golshani, Mohammad
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2206.00351

openalex publication_date 2022/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Assuming the existence of a strong cardinal, we find a model of ZFC in which for each uncountable regular cardinal λ, there is no universal graph of size λ.

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