Axiomatization of local-global principles for pp-formulas in spaces of orderings

DOI10.1007/s00153-004-0236-0zbMath1099.03027OpenAlexW1997486010MaRDI QIDQ1765103

Marcus Tressl, Vincent Astier

Publication date: 22 February 2005

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-004-0236-0

zbMATH Keywords

Quadratic formsModel theorySpaces of orderingsIsotropy theoremLocal-global principlesPositive-primitive formulasSpecial groups

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Models of other mathematical theories (03C65)

Related Items (6)

On some sheaves of special groups ⋮ On profinite spaces of orderings ⋮ The profinite hull of special groups and local-global principles ⋮ The pp conjecture for the space of orderings of the field \(\mathbb R(x,y)\) ⋮ Generic splitting for special groups ⋮ Quotients of index two and general quotients in a space of orderings

Cites Work

• Spaces of orderings and abstract real spectra
• Spaces of Orderings IV
• Special groups: Boolean-theoretic methods in the theory of quadratic forms
• Open questions in the theory of spaces of orderings
• Direct limits of finite spaces of orderings
• Unnamed Item

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