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math.CT2024
What kind of linearly distributive category do polynomial functors form?
David I. Spivak, Priyaa Varshinee Srinivasan
This paper has two purposes. The first is to extend the theory of linearly distributive categories by considering the structures that emerge in a special case: the normal duoidal c…
math.CT2023
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…
math.CT2014
Categories as mathematical models
David I. Spivak
Written to be contributed as the "mathematical modeling" chapter of a book, edited by Elaine Landry, to be titled "Categories for the Working Philosopher". In this chapter, categor…