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math.KT2026
-theory of finite monoid sets
Maru Sarazola, Brandon T. Shapiro, Inna Zakharevich
In this paper we classify the algebraic K-theory of sets equipped with an action by a finite abelian monoid. The main tool developed for this purpose is an Orbit-Stabilizer Theorem…
math.KT2024
A combinatorial construction of homology via ACGW categories
Maru Sarazola, Brandon Shapiro, Inna Zakharevich
2-Segal spaces arise not only from $S_\dotp$-constructions associated to Waldhausen and (proto) exact categories, but also from $S_\dotp$-constructions associated to certain double…