Hausdorff metric between simplicial complexes
Ivan Marin
TL;DR
This paper introduces a new distance function for simplicial complexes and explores its mathematical properties, aiding in the comparison and analysis of complex topological structures.
Contribution
The paper presents a novel Hausdorff-like metric for simplicial complexes, expanding tools for topological data analysis.
Findings
Defined a new distance function for simplicial complexes
Analyzed properties such as stability and invariance of the metric
Potential applications in topological data analysis and shape comparison
Abstract
We introduce a distance function between simplicial complexes and study several of its properties.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis