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- W3048385275 abstract "While the Vietoris-Rips complex is now widely used in both topological data analysis and the theory of hyperbolic groups, many of the fundamental properties of its homology have remained elusive. In this article, we define the Vietoris-Rips homology for semi-uniform spaces, which generalizes the classical theory for graphs and metric spaces, and provides a natural, general setting for the construction. We then prove a version of the Eilenberg-Steenrod axioms in this setting, giving a natural definition of homotopy for semi-uniform spaces in the process." @default.
- W3048385275 created "2020-08-18" @default.
- W3048385275 creator A5022275872 @default.
- W3048385275 date "2020-08-13" @default.
- W3048385275 modified "2023-09-27" @default.
- W3048385275 title "Vietoris-Rips Homology Theory for Semi-Uniform Spaces" @default.
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- W3048385275 hasPublicationYear "2020" @default.
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