2 citations · 4 across the 12 of their papers we have counts for
Showing math.ATShow all
3 papers · 1 filter
math.AT2026
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…
math.AT2024
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…
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…