Isomorphic limit ultrapowers for infinitary logic

DOI10.1007/s11856-021-2226-xOpenAlexW3210060265MaRDI QIDQ2130530

Saharon Shelah

Publication date: 25 April 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12729

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Model theory (03Cxx) Set theory (03Exx)

Cites Work

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• Model theory
• Ultraproducts in the theory of models
• Every two elementarily equivalent models have isomorphic ultrapowers
• Nice infinitary logics
• Models of axiomatic theories admitting automorphisms
• Infinite games and reduced products
• A.E.C. with Not Too Many Models
• Limit Ultrapowers