Dominic Verity, Mario Carneiro and I just announced a new project to formalize some aspects of ∞-category theory in #Lean via the notion of an ∞-cosmos.
Yuhi Kamio, Ryuya Hora: A solution to the first Lawvere's problem A Grothendieck topos that has a proper class many quotient topoi https://t.co/z5GLmRrORG https://t.co/tNzqCLTzwr
@mattecapu There is a whole zoo of polytopes that underly different types of coherence like the multiplihedra, functoriahedra, naturahedra, and unitohedra. Then there is the generalization to graph associahedra!