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Gromov-Hausdorff ultrametric

Ihor Zarichnyi
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Abstract

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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Ihor Zarichnyi. 2005-11-17. Gromov-Hausdorff ultrametric. https://arxiv.org/abs/math/0511437

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