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arXiv · 0812.4822

Geometry of Non-Archimedean Gromov-Hausdorff distance

Derong Qiu
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Abstract

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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Derong Qiu. 2008-12-28. Geometry of Non-Archimedean Gromov-Hausdorff distance. https://doi.org/10.1134/s2070046609040050

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