Geodesic
Quotients and Inverse Limits of Spaces of Orderings
Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 604-616

Voir la notice de l'article provenant de la source Cambridge University Press

A connection between the theory of quadratic forms defined over a given field F, and the space XF of all orderings of F is developed by A. Pfister in [12]. XF can be viewed as a set of characters acting on the group F ×/ΣF ×2 , where ΣF ×2 denotes the subgroup of F × consisting of sums of squares. Namely, each ordering P ∈ XF can be identified with the character defined by It follows from Pfister's result that the Witt ring of F modulo its radical is completely determined by the pair (XF , F ×/ΣF ×2 ). 
Marshall, Murray A. Quotients and Inverse Limits of Spaces of Orderings. Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 604-616. doi: 10.4153/CJM-1979-061-4
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