4 citations · 9 across the 4 of their papers we have counts for
5 papers
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…
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…
Persistent homology for functionals
Ulrich Bauer, Anibal M. Medina-Mardones, Maximilian Schmahl
We introduce topological conditions on a broad class of functionals that ensure that the persistent homology modules of their associated sublevel set filtration admit persistence d…
Lifespan Functors and Natural Dualities in Persistent Homology
Ulrich Bauer, Maximilian Schmahl
We introduce lifespan functors, which are endofunctors on the category of persistence modules that filter out intervals from barcodes according to their boundedness properties. The…
Structure of semi-continuous q-tame persistence modules
Maximilian Schmahl
Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decompos…