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math.AT2022★ 1 cited
Koszul complexes and relative homological algebra of functors over posets
Wojciech Chacholski, Andrea Guidolin, Isaac Ren +2
Under certain conditions, Koszul complexes can be used to calculate relative Betti diagrams of vector space-valued functors indexed by a poset, without the explicit computation of…
math.AT2022★ 1 cited
Data, geometry and homology
Jens Agerberg, Wojciech Chacholski, Ryan Ramanujam
Homology-based invariants can be used to characterize the geometry of datasets and thereby gain some understanding of the processes generating those datasets. In this work we inves…