5 citations · 14 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Squares K-theory and 2-Segal spaces
Maxine E. Calle, Maru Sarazola
We define an -construction for squares categories, and introduce a class of squares categories we call "proto-Waldhausen" which capture the properties required for the $…
Additivity and Fiber Sequences for Combinatorial K-Theory
Maru Sarazola, Brandon T. Shapiro
The (A)CGW categories of Campbell and Zakharevich show how finite sets and varieties behave like the objects of an exact category for the purpose of algebraic -theory. These str…
Cotorsion pairs and a -theory Localization Theorem
Maru Sarazola
We show that a complete hereditary cotorsion pair $(\C,\C^\bot)$ in an exact category $\E$, together with a subcategory $\Z\subseteq\E$ containing $\C^\bot$, determines a Waldhause…