Superstable theories and representation

2014/12/01 by Saharon Shelah, Shelah, Saharon
Physics and Astronomy · #03C45 #03C55 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1412.0421

openalex publication_date 2014/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give characterizations of the super-stable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned class of first-order theories can be regarded as "not very complicated". This was done for "stable" and for "aleph₀-stable". Here we give a complete answer for "superstable".

Related

• Stable theories and representation over sets
• On the class of flat stable theories
• Rigid aleph_epsilon-saturated models of superstable theories
• Forking and stability in the representations of a C*-algebra
• Existence of optimal ultrafilters and the fundamental complexity of simple theories