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math.CT2026
Categorical Perspectives on Chemical Reaction Networks
Justin Curry, Mauricio Montes
We show that the Schur-complement reduction of a chemical reaction network (CRN) from Hirono et al. is the categorical complement of the stoichiometric arrow in the arrow category…
math.CT2020★ 5 cited
A Relative Theory of Interleavings
Magnus Bakke Botnan, Justin Curry, Elizabeth Munch
The interleaving distance, although originally developed for persistent homology, has been generalized to measure the distance between functors modeled on many posets or even small…
math.CT2019★ 8 cited
Functors on Posets Left Kan Extend to Cosheaves: an Erratum
Justin Curry
In this note we give a self-contained proof of a fundamental statement in the study of cosheaves over a poset. Specifically, if a functor has domain a poset and co-domain a co-comp…