3 papers
math.AT2024
On finite generation in magnitude (co)homology, and its torsion
Luigi Caputi, Carlo Collari
The aim of this paper is to apply the framework, which was developed by Sam and Snowden, to study structural properties of graph homologies, in the spirit of Ramos, Miyata and Prou…
math.KT2024
Localization for coarse homology theories
Ulrich Bunke, Luigi Caputi
We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems an…
math.RA2024
On reachability categories, persistence, and commuting algebras of quivers
Luigi Caputi, Henri Riihimäki
For a finite quiver , we study the reachability category . We investigate the properties of from both a categorical and a topological viewpo…