2 . 2 Simplicial Complexes

نویسندگان

  • Afra Zomorodian
  • Gunnar Carlsson
چکیده

We study the homology of a filtered d-dimensional simplicial complex K as a single algebraic entity and establish a correspondence that provides a simple description over fields. Our analysis enables us to derive a natural algorithm for computing persistent homology over an arbitrary field in any dimension. Our study also implies the lack of a simple classification over non-fields. Instead, we give an algorithm for computing individual persistent homology groups over an arbitrary PIDs in any dimension.

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تاریخ انتشار 2004