2005/11/17 by Ihor Zarichnyi, Zarichnyi, Ihor
Computer Science · Mathematics · #54B20 #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Metric Geometry (math.MG) #Topological and Geometric Data Analysis #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.math/0511437
openalex publication_date 2005/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that there exists a natural counterpart of the Gromov-Hausdorff metric in the class of ultrametric spaces. It is proved, in particular, that the space of all ultrametric spaces whose metric take values in a fixed countable set is homeomorphic to the space of irrationals.