A stability theorem for bigraded persistence barcodes
arXiv:2303.14694 · doi:10.1007/s00454-025-00771-0
Abstract
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.
22 pages, published version