On pp-elimination and stability in a continuous setting

DOI10.1016/j.apal.2023.103258OpenAlexW3192400725MaRDI QIDQ2689806

Nicolas Chavarria, Anand Pillay

Publication date: 14 March 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14329

zbMATH Keywords

stabilitycontinuous logicmodel theory of modulesabelian structureshomomorphism to compact grouppp-elimination

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models of other mathematical theories (03C65) Quantifier elimination, model completeness, and related topics (03C10) Continuous model theory, model theory of metric structures (03C66)

Cites Work

• Model theory of modules
• Ax's theorem with an additive character
• Stability theory for topological logic, with applications to topological modules
• The last word on elimination of quantifiers in modules
• Stable groups and expansions of $(\mathbb Z,+,0)$
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