3 papers
math.RT2025
Stratifying systems and Jordan-Hölder extriangulated categories
Thomas Brüstle, Souheila Hassoun, Amit Shah +1
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A strat…
math.AT2025
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.AT2024
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…