2024/06/17 by Thibaut Benjamin, Benjamin, Thibaut, Ioannis Markakis +1
Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Computer and information sciences #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic in Computer Science (cs.LO) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2406.12127
openalex publication_date 2024/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study coinductive invertibility of cells in weak ω-categories. We use the inductive presentation of weak ω-categories via an adjunction with the category of computads, and show that invertible cells are closed under all operations of ω-categories. Moreover, we give a simple criterion for invertibility in computads, together with an algorithm computing the data witnessing the invertibility, including the inverse, and the cancellation data.