2014/05/08 by Adam Parusiński, Adam Parusinski, Parusinski, Adam
Mathematics · #14P15 #32B20 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #FOS: Mathematics #Holomorphic and Operator Theory #Metric Geometry (math.MG) #math.AG #math.MG #msc:14P15 #msc:32B20
paper · pdf · doi:10.48550/arxiv.1405.1845
7 pages
arxiv created 2014/05/08 · openalex publication_date 2014/05/08 · arxiv updated 2014/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let U be an open relatively compact subanalytic subset of a real analytic manifold. We show that there exists a finite linear covering (in the sense of Guillermou and Schapira) of U by subanalytic open subsets of U homeomorphic to a unit ball. We also show that the algebra of open relatively compact subanalytic subsets of a real analytic manifold is generated by subsets subanalytically and bi-lipschitz homeomorphic to a unit ball.