A geometric proof of the existence of definable Whitney stratifications

2014/04/04 by Nguyen, Nhan, Trivedi, Saurabh, Trotman, David · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.1218

Abstract

We give a geometric proof of existence of Whitney stratifications of definable sets in o-minimal structures.

Cited by

• Deep Learning as the Disciplined Construction of Tame Objects
• Weiss derivatives of holomorphic maps

Related

• Verdier stratifications and [wf]-stratification in o-minimal structures
• On the local geometry of definably stratified sets
• A geometric proof of the existence of Whitney stratifications
• On Whitney embedding of o-minimal manifolds
• Definable one dimensional topologies in o-minimal structures