3 papers
math.AT2026
Maximal compatibility of disklike -transfer systems
David DeMark, Michael A. Hill, Yigal Kamel +4
Transfer systems are a combinatorial model for -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…
math.CT2023
Polynomial Functors: A Mathematical Theory of Interaction
Nelson Niu, David I. Spivak
This monograph is a study of the category of polynomial endofunctors on the category of sets and its applications to modeling interaction protocols and dynamical systems. We assume…
math.CT2023
Monoidal Structures on Generalized Polynomial Categories
Joseph Dorta, Samantha Jarvis, Nelson Niu
Recently, there has been renewed interest in the theory and applications of de Paiva's dialectica categories and their relationship to the category of polynomial functors. Both fal…