289 citations · 628 across the 35 of their papers we have counts for
Showing 2020 · math.ATShow all
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math.AT2020★ 4 cited
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…
math.AT2020★ 5 cited
Homology of configuration spaces of hard squares in a rectangle
Hannah Alpert, Ulrich Bauer, Matthew Kahle +2
We study ordered configuration spaces of hard squares in a rectangle, a generalization of the well-known "15 Puzzle". Our main interest is in the topolo…
math.AT2020★ 4 cited
Universal Distances for Extended Persistence
Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr
The extended persistence diagram is an invariant of piecewise linear functions, which is known to be stable under perturbations of functions with respect to the bottleneck distance…