2 citations · 4 across the 12 of their papers we have counts for
14 papers
Gabriel Spectrum of Persistence Categories
Manu Harsu, Eero Hyry
We determine the Gabriel spectrum of a category of sheaves of vector spaces in purely topological terms. For every topological space , we prove that the Gabriel spectrum of ${\m…
Ephemeral Modules and Scott Sheaves on a Continuous Poset
Manu Harsu, Eero Hyry
By utilizing domain theory, we generalize the notion of an ephemeral module to the so-called continuous posets. We investigate the quotient category of persistence modules by the S…
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…
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…
A formula for jumping numbers in a two-dimensional regular local ring
Eero Hyry, Tarmo Järvilehto
In this article we give an explicit formula for the jumping numbers of an ideal of finite colenght in a two-dimensional regular local ring with an algebraically closed residue fiel…
Canonical modules of complexes
Maryam Akhavin, Eero Hyry
We define the notion of the canonical module of a complex. We then consider Serre's conditions for a complex and study their relationship to the local cohomology of the canonical m…