Gromov-Hausdorff Limits of Closed Surfaces

2022/08/29 by Dott, Tobias
Mathematics · #51F99 (Primary) 53C20 #54F15 (Secondary) #Advanced Topology and Set Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2208.13890

openalex publication_date 2022/08/29 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.

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