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math.AT2024
Nerve Models of Subdivision Bifiltrations
Michael Lesnick, Kenneth McCabe
We study the size of Sheehy's subdivision bifiltrations, up to homotopy. We focus in particular on the subdivision-Rips bifiltration of a metric space , the on…
math.AT2012★ 23 cited
Multidimensional Interleavings and Applications to Topological Inference
Michael Lesnick
This work concerns the theoretical foundations of persistence-based topological data analysis. We develop theory of topological inference in the multidimensional persistence settin…