2 papers
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…