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Embedding-Projection Correspondences for the estimation of the Gromov-Hausdorff distance

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arxiv 2407.03295 v1 pith:W7YU7THL submitted 2024-07-03 math.MG

Facundo Mémoli , Zane T. Smith This is my paper · ORCID
classification math.MG
keywords correspondencesembedding-projectionepcscallcertaincompactdescribesdesigning
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This writeup describes ongoing work on designing and testing a certain family of correspondences between compact metric spaces that we call \emph{embedding-projection correspondences} (EPCs). Of particular interest are EPCs between spheres of different dimension.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Gromov-Hausdorff Distance Between Consecutive Spheres

    math.MG 2026-08 accept novelty 8.0 of 10

    The Gromov-Hausdorff distance between S^n and S^{n+1} with geodesic metrics is exactly one half of arccos(-1/(n+1)).

  2. Gromov-Hausdorff distance and stability of dynamical systems

    math.MG 2026-08 conditional novelty 6.0 of 10

    A categorical Gromov-Hausdorff distance for systems with families of pseudometrics preserves Lyapunov and asymptotic stability under convergence.

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