One-Dimensional Reduction of Multidimensional Persistent Homology

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dc.creatorCagliari, F.
dc.creatorDi Fabio, B.
dc.creatorFerri, M.
dc.date2007-02-23
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:02Z
dc.date.available2026-07-07T09:53:02Z
dc.descriptionA recent result on size functions is extended to higher homology modules: the persistent homology based on a multidimensional measuring function is reduced to a 1-dimensional one. This leads to a stable distance for multidimensional persistent homology. Some reflections on i-essentiality of homological critical values conclude the paper.
dc.description16 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/0702713
dc.identifierhttp://arxiv.org/abs/math/0702713
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165808
dc.subjectAlgebraic Topology
dc.subject55N20; 68U05
dc.titleOne-Dimensional Reduction of Multidimensional Persistent Homology
dc.typetext

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