Gromov-Hausdorff ultrametric
一般拓扑
2007-05-23 v1 度量几何
摘要
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.
引用
@article{arxiv.math/0511437,
title = {Gromov-Hausdorff ultrametric},
author = {Ihor Zarichnyi},
journal= {arXiv preprint arXiv:math/0511437},
year = {2007}
}
备注
5 pages