Semi-algebraic triangulation over p-adically closed fields

Luck Darnière (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We prove a triangulation theorem for semi-algebraic sets over a p-adically closed field, quite similar to its real counterpart. We derive from it several applications like the existence of flexible retractions and splitting for semi-algebraic sets.

Mots clés: retraction; simplicial complex; p-adic geometry; semi-algebraic sets; cell decomposition; triangulation

Domaines: Topologie géométrique [math.GT]; Logique [math.LO]

Luck Darnière. Semi-algebraic triangulation over p-adically closed fields. 2018. ⟨hal-01469754v2⟩