On Spectrum of kappa-Resplendent Models

2011/05/19 by Saharon Shelah, Shelah, Saharon
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.1105.3774

openalex publication_date 2011/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that some natural "outside" property is equivalent (for a first order class) to being stable. For a model, being resplendent is a strengthening of being kappa-saturated. Restricting ourselves to the case kappa > |T| for transparency, a model M is kappa-resplendent means: when we expand M by

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