Geodesic
Classification of Finite Spaces of Orderings
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 320-330

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

1. Introduction. A space of orderings will refer to what was called a “set of quasi-orderings” in [5]. That is, a space of orderings is a pair (X, G) where G is an elementary 2-group (i.e. x 2 = 1 for all x ∈ G) with a distinguished element – 1 ∈ G, and X is a subset of the character group x(G) = Horn (G, {1, –1};) satisfying the following properties:01: X is a closed subset of χ(G).02: σ(−l) = −1 holds for all σ ∊ X.03: X⊥ = {a ∊ G|χa = 1 for all a ∊ X} = 1.04: If f and g are forms over G and if x ∊ D f⊗g, then there exist y ∊ Df and z ∊ Dg such that x ∊ D(y, z) . 
Marshall, Murray. Classification of Finite Spaces of Orderings. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 320-330. doi: 10.4153/CJM-1979-035-4
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