2 citations · 2 across the 2 of their papers we have counts for
4 papers
A Polynomial Construction of Nerves for Higher Categories
Brandon T. Shapiro, David I. Spivak
We show that the construction due to Leinster and Weber of a generalized Lawvere theory for a familially representable monad on a (co)presheaf category, and the associated ``nerve'…
Structures on Categories of Polynomials
Brandon T. Shapiro, David I. Spivak
We define the monoidal category of polynomials under composition in any category with finite limits, including both cartesian and vertical morphisms…
All Concepts are
Owen Lynch, Brandon T. Shapiro, David I. Spivak
We show that the double category of comonoids in the category of polynomial functors (previously shown by Ahman-Uustalu and Garner to be equivalent to th…
Enrichment of Algebraic Higher Categories
Brandon Shapiro
We provide a definition of enrichment that applies to a wide variety of categorical structures, generalizing Leinster's theory of enriched -multicategories. As a sample of newly…