6 citations · 9 across the 4 of their papers we have counts for
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math.AT2017★ 2 cited
Interleaving Distance as a Limit
Killian Meehan, David Meyer
Persistent homology is a way of determining the topological properties of a data set. It is well known that each persistence module admits the structure of a representation of a fi…
math.AT2017★ 6 cited
An Isometry Theorem for Generalized Persistence Modules
Killian Meehan, David Meyer
In recent work, generalized persistence modules have proved useful in distinguishing noise from the legitimate topological features of a data set. Algebraically, generalized persis…
math.AT2017
On the Structural Theorem of Persistent Homology
Killian Meehan, Andrei Pavlichenko, Jan Segert
We study the categorical framework for the computation of persistent homology, without reliance on a particular computational algorithm. The computation of persistent homology is c…