论文标题
有界度量空间的等距嵌入到Gromov-Hausdorff类中
Isometric Embeddings of Bounded Metric Spaces into the Gromov-Hausdorff Class
论文作者
论文摘要
结果表明，任何有界的度量空间都可以嵌入到gromov-hausdorff公制类GH中。该结果是在通用度量空间的足够小社区中对GH类的局部几何描述的结果。这个描述本身很有趣。使用了最佳对应关系及其扭曲的技术。
It is shown that any bounded metric space can be isometrically embedded into the Gromov--Hausdorff metric class GH. This result is a consequence of local geometry description of the class GH in a sufficiently small neighborhood of a generic metric space. This description is interesting in itself. The technique of optimal correspondences and their distortions is used.
