8 citations · 30 across the 12 of their papers we have counts for
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3 papers · 1 filter
math.RA2023
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…
math.GT2023★ 1 cited
From the Mayer-Vietoris spectral sequence to überhomology
Luigi Caputi, Daniele Celoria, Carlo Collari
We prove that the second page of the Mayer-Vietoris spectral sequence, with respect to anti-star covers, can be identified with another homological invariant of simplicial complexe…
math.AT2023★ 1 cited
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…