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arXiv:2001.10262 [math.GT]AbstractReferencesReviewsResources

Topological representation of the geometry of metric spaces

Parvaneh Joharinad, Jürgen Jost

Published 2020-01-28Version 1

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.

Comments: 14 pages
Categories: math.GT, math.MG
Subjects: 51Fxx, 14Fxx, G.2.m
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