Classification of semi-algebraic $p$-adic sets up to semi-algebraic bijection

Abstract

We prove that two infinite p-adic semi-algebraic sets are isomorphic (i.e. there exists a semi-algebraic bijection between them) if and only if they have the same dimension.

9 pages

Cited by in corpus (2)

• Semi-algebraic triangulation over p-adically closed fields
• Definable sets up to definable bijections in Presburger groups