3 papers
math.AC2023
Flat covers and injective hulls of persistence modules
Eero Hyry, Ville Puuska
Motivated by recent progress in topological data analysis, we establish a Matlis duality between injective hulls and flat covers of persistence modules. This extends to a duality b…
math.AC2022
Duality between injective envelopes and flat covers
Ville Puuska
We establish a duality between injective envelopes and flat covers over a commutative Noetherian ring. One case of this duality states that a morphism is an injective envelope, if…
math.AT2017
Erosion distance for generalized persistence modules
Ville Puuska
The persistence diagram of Cohen-Steiner, Edelsbrunner, and Harer was recently generalized by Patel to the case of constructible persistence modules with values in a symmetric mono…