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math.AT2025
A stability theorem for bigraded persistence barcodes
Anthony Bahri, Ivan Limonchenko, Taras Panov +2
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…
math.AT2024
Polyhedral products and features of their homotopy theory
A. Bahri, M. Bendersky, F. R. Cohen
A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as m…