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Sigma-Prikry forcing III: Down to Alephomega

2022/09/21 by Alejandro Poveda, Assaf Rinot, Poveda, Alejandro +3
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.2209.10501

openalex publication_date 2022/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the consistency of the failure of the singular cardinals hypothesis at ℵω together with the reflection of all stationary subsets of ℵω+1. This shows that two classic results of Magidor (from 1977 and 1982) can hold simultaneously.

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