A stability theorem for bigraded persistence barcodes
classification
🧮 math.AT
cs.CGcs.LGmath.COmath.MG
keywords
bigradedbarcodeshomologydoublemodulespersistentstabilitytheorem
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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.
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