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Gromov-Hausdorff ultrametric

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arxiv math/0511437 v1 pith:UOQJ2D7D submitted 2005-11-17 math.GN math.MG

Ihor Zarichnyi This is my paper · ORCID
classification math.GNmath.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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  1. A cohomology-based Gromov-Hausdorff metric approach for quantifying molecular similarity

    math.AT 2024-11 conditional novelty 6.0 of 10

    A structural similarity measure that compares molecules through the Gromov-Hausdorff ultrametric distance between spaces of harmonic cohomology generators.

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