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A stability theorem for bigraded persistence barcodes

arXiv 2303.14694 ↗First posted 26 Mar 2023math.AT cs.CG cs.LGcited by 0

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Abstract (arXiv)

We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated with the Vietoris-Rips filtration of X. We prove a stability theorem for the bigraded persistent double homology modules and barcodes.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 2 of its 28 references that are in the map. First posted on arXiv 26 Mar 2023.

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References · 2

  1. 2014Subsampling Methods for Persistent Homologycited by 17
  2. 2021From Geometry to Topology: Inverse Theorems for Distributed Persistencecited by 10

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