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math.AT2022
Comparison of persistent singular and Čech homology for locally connected filtrations
Maximilian Schmahl
We show that the interleaving distance between the persistent singular homology and the persistent Čech homology of a homologically locally connected filtration consisting of parac…
math.AT2022
Efficient Computation of Image Persistence
Ulrich Bauer, Maximilian Schmahl
We present an algorithm for computing the barcode of the image of a morphisms in persistent homology induced by an inclusion of filtered finite-dimensional chain complexes. These a…