2017/02/25 by Ігор Протасов, Igor Protasov, Protasov, Igor +2
Computer Science · Mathematics · #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.GN
paper · pdf · doi:10.48550/arxiv.1702.07941
arxiv created 2017/02/25 · openalex publication_date 2017/02/25 · arxiv updated 2017/02/28 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28
A ballean (or coarse structure) is a set endowed with some family of subsets, the balls, is such a way that balleans with corresponding morphisms can be considered as asymptotic counterparts of uniform topological spaces. For a ballean B on a set X, the hyperballean B\flat is a ballean naturally defined on the set X\flat of all bounded subsets of X. We describe all balleans with hyperballeans of bounded geometry and analyze the structure of these hyperballeans.