Topological representation of the geometry of metric spaces
Geometric Topology
2020-01-29 v1 Metric Geometry
Abstract
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 \v{C}ech filtration of that space.
Keywords
Cite
@article{arxiv.2001.10262,
title = {Topological representation of the geometry of metric spaces},
author = {Parvaneh Joharinad and Jürgen Jost},
journal= {arXiv preprint arXiv:2001.10262},
year = {2020}
}
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14 pages