Papers › Invertible cells in ω-categories
Invertible cells in ω-categories
Thibaut Benjamin, Ioannis Markakis
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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.
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