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The rank invariant stability via interleavings

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arxiv 1412.3374 v1 pith:F7G72GT3 submitted 2014-12-10 cs.CG

Claudia Landi This is my paper · ORCID
classification cs.CG
keywords rankinvariantsstabilityalternativebounddistancegiveninterleaving
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A lower bound for the interleaving distance on persistence vector spaces is given in terms of rank invariants. This offers an alternative proof of the stability of rank invariants.

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  1. Path representations in multiparameter persistent homology

    math.AT 2025-07 conditional novelty 4.0 of 10

    A multiparameter persistence distance is defined by taking persistence along monotone piecewise-linear paths instead of straight slices, generalizing the matching distance.

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