Gromov-Hausdorff ultrametric
classification
🧮 math.GN
math.MG
keywords
ultrametricgromov-hausdorffmetricspacespacesclasscountablecounterpart
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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.
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