Semi-algebraic triangulation over p-adically closed fields

Abstract

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.

References in corpus (4)

• Classification of semi-algebraic $p$-adic sets up to semi-algebraic bijection
• Topological cell decomposition and dimension theory in P-minimal fields
• Clustered Cell Decomposition in P-Minimal Structures
• Model completion of scaled lattices and co-Heyting algebras of p-adic semi-algebraic sets

Cited by in corpus (1)

• Combinatorial properties of non-archimedean convex sets