Geometry of Non-Archimedean Gromov-Hausdorff distance

Details Geometry of Non-Archimedean Gromov-Hausdorff distance Geometry of Non-Archimedean Gromov-Hausdorff distance

2008-12-28

arxiv.org/abs/0812.4822v1

Mathematics

Metric Geometry

49 pages

Scientific paper

In this paper, we study the geometry of non-Archimedean Gromov-Hausdorff metric. This is the first part of our series work, which we try to establish some facts about the counterpart of Gromov-Hausdorff metric in the non-Archimedean spaces. One of the motivation of this work is to find some implied relations between this geometry and number theory via p-adic analysis, so that we can use the former as a tool to study the relating arithmetic aspects.

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