DIFFERENTIABLE APPROXIMATION OF CONTINUOUS DEFINABLE MAPS THAT PRESERVES THE IMAGE

par Antonio Carbone (Trento)

jeudi 11 avr. 2024, 14:00 → 16:00 Europe/Paris

Recently Pawlucki showed that compact sets that are definable in some o-minimal structure (e.g. semialgebraic sets) admit triangulations of class $C^p$  for each integer p ≥ 1. The aim of this talk is to discuss how to make use of these new techniques of triangulation in order to show that all continuous definable maps between compact definable sets can be approximated by differentiable maps preserving their image after the approximation.