Semi-algebraic triangulation over p-adically closed fields

by L. Darnière

Proceedings of the London Mathematical Society 118 (2019), no. 6, 1501-1546

Submitted on November 08, 2017

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.

Mathematics Subject Classification

12J12 Formally p-adic fields
51H20 Topological geometries on manifolds [See also 57-XX]
57N80 Stratifications

Electronic version of the paper

Version November 2018 (55 pages) pdf

Version February 2017 (52 pages) pdf
Beamer presentations: 2017, 2019.