3 papers
math.RT2026
Representation Cohomology of a Small Category
Markus Klemetti, Ran Levi, Henri Riihimaki +1
Let be a simplicial object in the category of small categories. For a field , taking the Grothendieck groups of isomorphism classes of -modules gives ris…
math.AT2023
Finite presentation of finitely determined modules
Eero Hyry, Markus Klemetti
In this article we study certain notions of `tameness' for the persistence modules studied in topological data analysis. In particular, we show that after adding infinitary points…
math.AT2021
Generalized persistence and graded structures
Eero Hyry, Markus Klemetti
We investigate the correspondence between generalized persistence modules and graded modules in the case the indexing set has a monoid action. We introduce the notion of an action…