A refinement of multi-dimensional persistence

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dc.creatorKnudson, Kevin P.
dc.date2007-06-18
dc.date.accessioned2026-07-07T08:10:49Z
dc.date.available2026-07-07T08:10:49Z
dc.descriptionWe study the multi-dimensional persistence of Carlsson and Zomorodian and obtain a finer classification based upon the higher tor-modules of a persistence module. We propose a variety structure on the set of isomorphism classes of these modules, and present several examples. We also provide a geometric interpretation for the higher tor-modules of homology modules of multi-filtered simplicial complexes.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0706.2608
dc.identifierhttp://arxiv.org/abs/0706.2608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131933
dc.subjectAlgebraic Topology
dc.titleA refinement of multi-dimensional persistence
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