Archive for Mathematical Logic 44 (1):77-95 (2004)

.We use a model theoretic approach to investigate properties of local-global principles for positive primitive formulas in spaces of orderings, such as the existence of bounds and the axiomatizability of local-global principles. As a consequence we obtain various classes of special groups satisfying local-global principles for all positive primitive formulas, and we show that local-global principles are preserved by some natural constructions in special groups.
Keywords Spaces of orderings  Model theory  Special groups  Positive-primitive formulas  Local-global principles  Quadratic forms  Isotropy theorem
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Reprint years 2005
DOI 10.1007/s00153-004-0236-0
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Open Questions in the Theory of Spaces of Orderings.Murray A. Marshall - 2002 - Journal of Symbolic Logic 67 (1):341-352.

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On Some Sheaves of Special Groups.Vincent Astier - 2007 - Archive for Mathematical Logic 46 (5-6):481-488.

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