2021/05/01 by Satoshi Koike, Koike, Satoshi, Laurentiu Paunescu +2
Mathematics · Physics and Astronomy · #14P15 57R45 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14P15 #msc:57R45
paper · pdf · doi:10.48550/arxiv.2105.00359
15 pages
arxiv created 2021/05/01 · openalex publication_date 2021/05/01 · arxiv updated 2021/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a previous paper we have introduced the notion of geometric directional bundle of a singular space, in order to introduce global bi-Lipschitz invariants. Then we have posed the question of whether or not the geometric directional bundle is stabilised as an operation acting on singular spaces. In this paper we give a positive answer in the case where the singular spaces are subanalytic sets, thus providing a new invariant associated with the subanalytic sets.