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math.AT2023★ 1 cited
Exact structures for persistence modules
Benjamin Blanchette, Thomas Brüstle, Eric J. Hanson
We discuss applications of exact structures and relative homological algebra to the study of invariants of multiparameter persistence modules. This paper is mostly expository, but…
math.AT2021★ 17 cited
Homological approximations in persistence theory
Benjamin Blanchette, Thomas Brüstle, Eric J. Hanson
We define a class of invariants, which we call homological invariants, for persistence modules over a finite poset. Informally, a homological invariant is one that respects some ho…