Fields with few types

DOI10.2178/JSL.7801050zbMath1309.03015arXiv1104.0288OpenAlexW3102795395MaRDI QIDQ4916543

Cédric Milliet

Publication date: 23 April 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0288

zbMATH Keywords

Artin-Schreier extensionCantor-Bendixson ranklocal descending chain conditionweakly small field

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Model theory of fields (12L12)

Cites Work

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• Some attempts to define a general notion of groups and fields of dimension one and to determine their algebraic properties
• Countable models of 1-based theories
• Stable theories without dense forking chains
• Supersimple fields and division rings
• Vaught's conjecture
• Artin-Schreier extensions in NIP and simple fields
• On bounded type-definable equivalence relations
• Small skew fields
• Fundamenta Mathematicae: An Examination of Its Founding and Significance

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