论文标题
关于埃里克森·贝克(Eriksson-Bique)和soultanis在公制位置上建造的图表的注释
A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces
论文作者
论文摘要
Eriksson-Bique和Soultanis最近关于一般度量度量空间中图表的构建的最新研究激发了此注释。我们分析了它们的结构,并提供了一个替代性,更简单的证明,证明了这些图表存在于有限的Hausdorff维度集中的事实。在此进行的观察还提供了一些简化的研究,以研究参考度量和图表之间的关系,以$ \ text {rcd} $ spaces的设置。
This note is motivated by recent studies by Eriksson-Bique and Soultanis about the construction of charts in general metric measure spaces. We analyze their construction and provide an alternative and simpler proof of the fact that these charts exist on sets of finite Hausdorff dimension. The observation made here offers also some simplification about the study of the relation between the reference measure and the charts in the setting of $\text{RCD}$ spaces.