Gromov-Hausdorff ultrametric

Details Gromov-Hausdorff ultrametric Gromov-Hausdorff ultrametric

2005-11-17

arxiv.org/abs/math/0511437v1

Mathematics

General Topology

5 pages

Scientific paper

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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