| Authors: | Bahri, Anthony Limonchenko, Ivan Panov, Taras Song, Jongbaek Stanley, Donald |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | A Stability Theorem for Bigraded Persistence Barcodes | Journal: | Discrete and Computational Geometry | Issue Date: | 2025 | Rank: | M22 | ISSN: | 0179-5376 | 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. |
Keywords: | Barcode | Double homology | Moment-angle complex | Persistence module | Persistent homology | Polyhedral product | Stanley-Reisner ring | Publisher: | Springer Link |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.