论文标题

度量空间几何形状的拓扑表示

Topological representation of the geometry of metric spaces

论文作者

Joharinad, Parvaneh, Jost, Jürgen

论文摘要

受到超概念性概念及其与曲率的关系的启发,我们将曲率不等式编码的度量空间的几何特性转化为由该空间的诚过滤引起的持久同源性。

Inspired by the concept of hyperconvexity and its relation to curvature, we translate geometric properties of a metric space encoded by the curvature inequalities into the persistent homology induced by the Čech filtration of that space.

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