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A Stability Theorem for Bigraded Persistence Barcodes
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DOI：10.1007/s00454-025-00771-0.png)
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Abstract
En 中文
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.
Keywords:
Persistence module
Persistent homology
Barcode
Moment-angle complex
Polyhedral product
Stanley-Reisner ring
Double homology
Journal
D
IF:
0.6
Papers:
14
Citations:
2.6K
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