论文标题
金字塔中测量的Gromov-Hausdorff预发的度量空间的界限
Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids
论文作者
论文摘要
我们证明，任何测量的Gromov-Hausdorff预发量集合集合在某个集合中包含的称为金字塔中，该集合在金字塔内的Lipschitz阶方面都受到某些度量测量空间的界定。事实证明，这是迈向格罗莫夫声明的可能扩展的一步，我们在以前的工作中给出了详细的证明。还获得了几个相关的结果。
We prove that any measured Gromov-Hausdorff precompact set of metric measure spaces which is contained in a certain set, called a pyramid, is bounded by some metric measure space with respect to the Lipschitz order inside the pyramid. This is proved as a step towards a possible extension of the statement of Gromov, for which we gave a detailed proof in our previous work. Several related results are also obtained.
