10 citations · 27 across the 12 of their papers we have counts for
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math.CT2021
Familial Monads as Higher Category Theories
Brandon Shapiro
Categories, n-categories, double categories, and multicategories (among others) all have similar definitions as collections of cells with composition operations. We give an explici…
math.KT2021★ 1 cited
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…
math.CT2021★ 2 cited
Weak cartesian properties of simplicial sets
Carmen Constantin, Tobias Fritz, Paolo Perrone +1
Many special classes of simplicial sets, such as the nerves of categories or groupoids, the 2-Segal sets of Dyckerhoff and Kapranov, and the (discrete) decomposition spaces of Gálv…